{"id":8305,"date":"2020-09-16T16:56:08","date_gmt":"2020-09-16T11:26:08","guid":{"rendered":"https:\/\/ncertsolutions.guru\/?p=8305"},"modified":"2020-10-09T12:07:36","modified_gmt":"2020-10-09T06:37:36","slug":"mcq-questions-for-class-10-maths-chapter-3","status":"publish","type":"post","link":"https:\/\/ncertsolutions.guru\/mcq-questions-for-class-10-maths-chapter-3\/","title":{"rendered":"MCQ Questions for Class 10 Maths Chapter 3 Pair of Linear Equations in Two Variables with Answers"},"content":{"rendered":"

Students can access the NCERT MCQ Questions for Class 10 Maths Chapter 3 Pair of Linear Equations in Two Variables with Answers Pdf free download aids in your exam preparation and you can get a good hold of the chapter. Use MCQ Questions for Class 10 Maths with Answers<\/a> during preparation and score maximum marks in the exam. Students can download the Pair of Linear Equations in Two Variables Class 10 MCQs Questions with Answers from here and test their problem-solving skills. Clear all the fundamentals and prepare thoroughly for the exam taking help from Class 10 Maths Chapter 3 Pair of Linear Equations in Two Variables Objective Questions.<\/p>\n

Pair of Linear Equations in Two Variables Class 10 MCQs Questions with Answers<\/h2>\n

Students are advised to solve the Pair of Linear Equations in Two Variables Multiple Choice Questions of Class 10 Maths to know different concepts. Practicing the MCQ Questions on Pair of Linear Equations in Two Variables Class 10 with answers will boost your confidence thereby helping you score well in the exam.<\/p>\n

Explore numerous MCQ Questions of Pair of Linear Equations in Two Variables Class 10 with answers provided with detailed solutions by looking below.<\/p>\n

Question 1.
\nFind the dimensions of a garden, whose length is 4 m more than its width and half the perimeter is 36 m.
\n(a) 20 m \u00d7 16 m
\n(b) 14 m \u00d7 10 m
\n(c) 26 m \u00d7 22 m
\n(d) 12 m \u00d7 8 m<\/p>\n

\nAnswer<\/span><\/summary>\n

Answer: (a) 20 m \u00d7 16 m
\nl = b + 4
\nl + b = 36
\nl = 20 and, b = 6<\/p>\n<\/details>\n

\n

Question 2.
\nThe sides of a triangle are AB, BC and AC whose equations are respectively y-2 = 0; y = 3x – 7 and 2y + x = 0, The coordinates of points A and B are :
\n(a) A(3,2), B(-4,2)
\n(b) A(-4,2), B(3,2)
\n(c) A(3,2), B(2,-l)
\n(d) A(-4,2), B(2, -1)<\/p>\n

\nAnswer<\/span><\/summary>\n

Answer: (b) A(-4,2), B(3,2)
\nEquation of line AB : y – 2 = 0 Equation of line BC: y = 3 x -7 Equation of line AC: 2y + x = 0 Coordinates of point B can be obtained by solving AB and BC => (3,2).
\nCoordinate of point A are (- 4, 2)
\nA (- 4,2) and B(3,2)<\/p>\n<\/details>\n

\n

Question 3.
\nGiven is the system of Inconsistent equations, 2x + 7y = 11 and 5x + ky – 25 = 0, find k.
\n(a) – \\(\\frac{35}{2}\\)
\n(b) 4
\n(c) \\(\\frac{35}{2}\\)
\n(d) – 4<\/p>\n

\nAnswer<\/span><\/summary>\n

Answer: (c) \\(\\frac{35}{2}\\)
\n\\(\\frac{a1}{a2}\\) = \\(\\frac{b1}{b2}\\) \u2260 \\(\\frac{c1}{c2}\\)
\n\\(\\frac{2}{5}\\) = \\(\\frac{7}{k}\\)
\n2k = 35
\nk = \\(\\frac{35}{2}\\)<\/p>\n<\/details>\n

\n

Question 4.
\n10 students of class X took part in a Mathematics quiz. If the number of girls is 4 more than the number of boys, find the number of boys who took part in the quiz.
\n(a) 3
\n(b) 7
\n(c) 2
\n(d) 8<\/p>\n

\nAnswer<\/span><\/summary>\n

Answer: (a) 3
\nNo. of boys = x
\nand No. of girls = y
\nx + y =10
\ny = x + 4
\nx = 3
\ny = 7
\n=> Number of boys = 3<\/p>\n<\/details>\n

\n

Question 5.
\n5 pencils and 7 pens together cost Rs. 50 whereas 7 pencils and 5 pens cost Rs. 46. Find the cost of 2 pencils and 3 pens.
\n(a) Rs. 42
\n(b) Rs. 39
\n(c) Rs. 21
\n(d) Rs. 16<\/p>\n

\nAnswer<\/span><\/summary>\n

Answer: (c) Rs. 21
\nLet, cost of 1 pencil = x and cost of 1 pen = y – 2
\nCost of 2 pencil and 3 pens = 6 +15 = Rs. 21
\n=> Correct option is (c)<\/p>\n<\/details>\n

\n

Question 6.
\nA linear equation in two variables has:
\n(a) 1 solution
\n(b) 2 solutions
\n(c) no solution
\n(d) infinitely many<\/p>\n

\nAnswer<\/span><\/summary>\n

Answer: (d) infinitely many
\nA linear equation in two variables has infinite number of solutions.
\n=> Correct option is (d)<\/p>\n<\/details>\n

\n

Question 7.
\nA pair of linear equations is not consistent if:
\n(a) if has one solution
\n(b) it has many solutions
\n(c) graph intersect or coincide
\n(d) graph is parallel<\/p>\n

\nAnswer<\/span><\/summary>\n

Answer: (d) graph is parallel
\n37. Correct option is (d)<\/p>\n<\/details>\n

\n

Question 8.
\nIn a AABC, \u2220A = x\u00b0, \u2220B = (3a – 2)\u00b0 and \u2220C = y\u00b0. Also, \u2220C – \u2220B = 9\u00b0. Find the value of \u2220B.
\n(a) 73\u00b0
\n(b) 82\u00b0
\n(c) 25\u00b0
\n(d) 49\u00b0<\/p>\n

\nAnswer<\/span><\/summary>\n

Answer: (a) 73\u00b0
\n\u2220A + \u2220B + \u2220C = 180\u00b0
\n=> x + (3x – 2) + y = 180
\n4x + y = 182 …(1)
\ny – 3x + 2 = 9 …(2)
\nSolving (1) & (2), y = 82, x = 25\u00b0 => \u2220B = 73\u00b0<\/p>\n<\/details>\n

\n

Question 9.
\nThe perimeter of a rectangle is 44 cm. Its length exceeds twice its breadth by 4 cm. Find the area of the rectangle.
\n(a) 46 cm\u00b2
\n(b) 49 cm\u00b2
\n(c) 96 cm\u00b2
\n(d) 69 cm\u00b2<\/p>\n

\nAnswer<\/span><\/summary>\n

Answer: (c) 96 cm\u00b2
\nLet, Length = x cm
\nBreadth = y cm
\n=> 2(x + y) = 44
\n=> x + y =221, y = 6 cm ,x = 16 cm
\nx = 2y+4
\n=> Area = 16 x 6 = 96 cm\u00b2<\/p>\n<\/details>\n

\n

Question 10.
\nFor what value of k, will the equations, x + 2y + (11 – k) = 0 and 2x + ky + (10 + k) = 0 represent the coincident lines :
\n(a) k = 12
\n(b) k = 4
\n(c) k = 36
\n(d) k = 2<\/p>\n

\nAnswer<\/span><\/summary>\n

Answer: (b) k = 4
\n\\(\\frac{a1}{a2}\\) = \\(\\frac{b1}{b2}\\) = \\(\\frac{c1}{c2}\\)
\n\\(\\frac{1}{2}\\) = \\(\\frac{2}{k}\\) = \\(\\frac{11 – k}{10 + k}\\)
\nk = 4<\/p>\n<\/details>\n

\n

Question 11.
\nAn equation ax + by + c = 0 is a linear equation in 2 variables, where a, b, c are :
\n(a) natural numbers
\n(b) whole numbers
\n(c) integers
\n(d) real numbers<\/p>\n

\nAnswer<\/span><\/summary>\n

Answer: (d) real numbers<\/p>\n<\/details>\n

\n

Question 12.
\nRead the following graphs carefully, and match the following:<\/p>\n\n\n\n\n\n
\"MCQ<\/td>\nLines do not intersect<\/td>\nUnique solutions<\/td>\nConsistent with many solutions<\/td>\n<\/tr>\n
\"MCQ<\/td>\nLines intersect at 1 point<\/td>\nInfinite solutions<\/td>\nConsistent<\/td>\n<\/tr>\n
\"MCQ<\/td>\nLines are coincident<\/td>\nNo solutions<\/td>\nParallel lines<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n
\nAnswer<\/span><\/summary>\n

Answer:<\/p>\n\n\n\n\n\n
\"MCQ<\/td>\nLines intersect at 1 point<\/td>\nUnique solutions<\/td>\nConsistent<\/td>\n<\/tr>\n
\"MCQ<\/td>\nLines are coincident<\/td>\nInfinite solutions<\/td>\nConsistent with many solutions<\/td>\n<\/tr>\n
\"MCQ<\/td>\nLines do not intersect<\/td>\nNo solutions<\/td>\nParallel lines<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/details>\n
\n

Question 13.
\nThe pair of equations y = 9 and y = – 7 has:
\n(a) one solution
\n(b) two solutions
\n(c) infinitely many
\n(d) no solution solutions<\/p>\n

\nAnswer<\/span><\/summary>\n

Answer: (d) no solution solutions
\ny = 9 and y = – 7 are lines parallel to X-axis, thus these are parallel lines and hence no solution<\/p>\n<\/details>\n

\n

Question 14.
\nThe system of equations 3x – 5y = 20 and 6x – 10y = 40 has :
\n(a) one solution
\n(b) exactly 2 solutions
\n(c) infinitely many solutions
\n(d) no solutions solutions<\/p>\n

\nAnswer<\/span><\/summary>\n

Answer: (c) infinitely many solutions
\n\\(\\frac{a1}{a2}\\) = \\(\\frac{b1}{b2}\\) = \\(\\frac{c1}{c2}\\) = \\(\\frac{x}{y}\\)<\/p>\n<\/details>\n

\n

Question 15.
\nFor what value of a, the pair of equations, 3x + 2y – 4= 0 and ax – y – 3 = 0 has a unique solutions :
\n(a) All real numbers except – \\(\\frac{3}{2}\\)
\n(b) a=- \\(\\frac{3}{2}\\)
\n(c)a= \\(\\frac{3}{2}\\)
\n(d)a= \\(\\frac{2}{3}\\)<\/p>\n

\nAnswer<\/span><\/summary>\n

Answer: (a) All real numbers except – \\(\\frac{3}{2}\\)
\nFor unique solutions , \\(\\frac{a1}{a2}\\) \u2260 \\(\\frac{b1}{b2}\\)
\na \u2260 – \\(\\frac{3}{2}\\)
\na can all possible values except – \\(\\frac{3}{2}\\)<\/p>\n<\/details>\n

\n

Question 16.
\nThe sum of a two digit number is 8. The number obtained by reversing the digits exceeds the number by 18. Then the given number is :
\n(a) 53
\n(b) 35
\n(c) 26
\n(d) 62<\/p>\n

\nAnswer<\/span><\/summary>\n

Answer: (b) 35
\nLet, the digit at units’ place = x and digit at ten’s place = y => x + y = 8 and lOx + y = 18 + (10y + x)
\nNo. = 35.<\/p>\n<\/details>\n

\n

Question 17.
\nIn a triangle, the sum of two angles is equal to the third angle. If the difference between two angles is 30\u00b0, find the angles.
\n(a) 15\u00b0, 45\u00b0, 75\u00b0
\n(b) 20\u00b0, 50\u00b0, 80\u00b0
\n(c) 30\u00b0, 60\u00b0, 90\u00b0
\n(d) 45\u00b0, 45\u00b0, 90\u00b0<\/p>\n

\nAnswer<\/span><\/summary>\n

Answer: (c) 30\u00b0, 60\u00b0, 90\u00b0
\n(x) + (y) + (x + y) 180\u00b0
\nx + y = 90\u00b0
\nx – y = 30\u00b0
\n=> x = 60\u00b0, y = 30\u00b0
\n=> Angles are 30\u00b0, 60\u00b0 and 90\u00b0<\/p>\n<\/details>\n

\n

Read the graph carefully and answer the questions given (Q.No. 18 to Q. No. 22):<\/p>\n

Question 18.
\n(a) (0,1)
\n(b) (4,0)
\n(c) (2,3)
\n(d) (0,6)<\/p>\n

\nAnswer<\/span><\/summary>\n

Answer: (b) (4,0)
\nCorrect option is (b).<\/p>\n<\/details>\n

\n

Question 19.
\nThe line x – y + 1 = 0 meets Y-axis at:
\n(a) (0,1)
\n(b) (4,0)
\n(c) (2,3)
\n(d) (0,6)<\/p>\n

\nAnswer<\/span><\/summary>\n

Answer: (a) (0,1)
\nCorrect option is (a).<\/p>\n<\/details>\n

\n

Question 20.
\nThe solutions of the system of equations, x – y + 1 = 0, 3x + 2y -12 = 0 is :
\n(a) (0,1)
\n(b) (4,0)
\n(c) (2,3)
\n(d) (0,6)<\/p>\n

\nAnswer<\/span><\/summary>\n

Answer: (c) (2,3)
\nSince the two lines meet at (2, 3)
\nCorrect option is (c).<\/p>\n<\/details>\n

\n

Question 21.
\nThe area of triangle formed by x-y +1 = 0, 3x + 2y -12 = 0 and X-axis is :
\n(a) \\(\\frac{15}{2}\\) sq. units
\n(b) 9 sq. units
\n(c) 5 sq. units
\n(d) 6 sq. units<\/p>\n

\nAnswer<\/span><\/summary>\n

Answer: (a) \\(\\frac{15}{2}\\) sq. units
\nArea of \u2206 formed by x – y +1 = 0,3x + 2y – 12 = 0 and X-axis is, (\u2206ABC)
\n\\(\\frac{1}{2}\\) \u00d7 5 \u00d7 3 = \\(\\frac{15}{2}\\)sq. units<\/p>\n<\/details>\n

\n

Question 22.
\nThe area of triangl e formed by x – y +1 = 0, 3x + 2y -12 = 0 and x = 0 is :
\n(a) \\(\\frac{15}{2}\\) sq. units
\n(b) 9 sq. units
\n(c) 5 sq. units
\n(d) 6 sq. units<\/p>\n

\nAnswer<\/span><\/summary>\n

Answer: (c) 5 sq. units
\nArea required = Area (\u2206ECD)
\n= \\(\\frac{15}{2}\\) \u00d7 5 \u00d7 2 = 5 sq. units<\/p>\n<\/details>\n

\n

Question 23.
\nFind the value of (x + y) if 148x + 231y=527 and 231x + 148y = 610.
\n(a) 3
\n(b) 480
\n(c) 1
\n(d) 481<\/p>\n

\nAnswer<\/span><\/summary>\n

Answer: (a) 3
\nAdding the given equations,
\n379x + 379y = 1137
\nx + y = 3<\/p>\n<\/details>\n

\n

Question 24.
\nThe line x = 4 :
\n(a) passes through origin
\n(b) parallel to X-axis
\n(c) parallel to Y-axis
\n(d) does not meet Y-axis at all<\/p>\n

\nAnswer<\/span><\/summary>\n

Answer: (c) parallel to Y-axis
\nx = 4 is a line parallel to Y-axis
\n\"MCQ<\/p>\n<\/details>\n

\n

Question 25.
\nIf x and y satisfy the given two equations, 4x + \\(\\frac{6}{y}\\) = 15, 6x – \\(\\frac{8}{y}\\) = 14; find p is y = px – 2.
\n(a) 1
\n(b) 2
\n(c) 3
\n(d) \\(\\frac{4}{3}\\)<\/p>\n

\nAnswer<\/span><\/summary>\n

Answer: (d) \\(\\frac{4}{3}\\)
\n4x + \\(\\frac{6}{y}\\) = 15
\n6x – \\(\\frac{8}{y}\\)= 14
\n=> x = 3
\n=> y = px – 2
\ny = 2
\n=> 2 = 3p – 2
\n=> Correct option is (d).<\/p>\n<\/details>\n

\n

Question 26.
\nFind the value which k cannot take, for the given system to have a unique solutions, x + 2y = 3, ky + 5x + 7 = 0.
\n(a) 10
\n(b) \\(\\frac{- 14}{3}\\)
\n(c) any real
\n(d) any real number
\nnumber except 10.<\/p>\n

\nAnswer<\/span><\/summary>\n

Answer: (a) 10
\n\\(\\frac{a1}{a2}\\) = \\(\\frac{1}{5}\\), \\(\\frac{b1}{b2}\\) = \\(\\frac{2}{k}\\), \\(\\frac{c1}{c2}\\) = – \\(\\frac{3}{7}\\)
\n\\(\\frac{a1}{a2}\\) \u2260 \\(\\frac{b1}{b2}\\)
\nk \u2260 10<\/p>\n<\/details>\n

\n

Question 27.
\nFind p and q so that given system has infinite number of solutions, 4x + 6y -14 = 0.
\n(p + q)x + (2 p – q)y – 3 (p + q +1) = 0
\n(a)p = 1, q = 1
\n(b)p = 1,q = – 1
\n(c) p = 1, q = 5
\n(d) p = 5, q = 1<\/p>\n

\nAnswer<\/span><\/summary>\n

Answer: (d) p = 5, q = 1
\nSystem will have infinite solutions, if
\n\\(\\frac{b1}{b2}\\) = \\(\\frac{b1}{b2}\\) = \\(\\frac{b1}{b2}\\)
\np – 5q = 0 and p + q = 6
\np = 5
\nq = 1
\n=> Correct option is (d).<\/p>\n<\/details>\n

\n

Question 28.
\nFind x and y in the given rectangle :
\n\"MCQ
\n(a) x = 1, y = 4
\n(b) x = 4, y = 1
\n(c) x = 2, y = 2
\n(d) x = 3, y = 1<\/p>\n

\nAnswer<\/span><\/summary>\n

Answer: (a) x = 1, y = 4
\n3x + y = 7 => 3x + y = 7
\nx + 3y = 13 => 3x + 9y = 39
\nx = 1; y = 4<\/p>\n<\/details>\n

\n

Read the figure carefully and answer fhe following questions (Q. No. 29 to Q. No. 33):
\n\"MCQ
\nQuestion 29.
\nEquation of line l is,
\n(a) x = – 2
\n(b) x = 2
\n(c)y = 2
\n(d) y = – 2<\/p>\n

\nAnswer<\/span><\/summary>\n

Answer: (a) x = – 2
\nLine l is parallel to Y-axis at a distance of 2 units in the negative direction
\n=> Equation of line \/ is x = – 2
\n=> Correct option is (a).<\/p>\n<\/details>\n

\n

Question 30.
\nEquation of line m is :
\n(a) x = – 2
\n(b) x = 2
\n(c) y = 2
\n(d) y = – 2<\/p>\n

\nAnswer<\/span><\/summary>\n

Answer: (c) y = 2
\ny = 2 => Correct option is (c).<\/p>\n<\/details>\n

\n

Question 31.
\nThe figure obtained by lines l, m, X-axis and Y-axis, can not be the :
\n(a) square
\n(b) rectangle
\n(c) trapezium
\n(d) triangle<\/p>\n

\nAnswer<\/span><\/summary>\n

Answer: (d) triangle
\nThe figure obtained is square. Since every square is a rectangle and is a trapezium also.
\nThus, the wrong name is triangle
\n=> Correct option is (d).<\/p>\n<\/details>\n

\n

Question 32.
\nArea of figure OABC is (in square units):
\n(a) 1
\n(b) 2
\n(c) 3
\n(d) 4<\/p>\n

\nAnswer<\/span><\/summary>\n

Answer: (d) 4
\nArea of figure OABC = 4 square units
\n=> Correct option is (d).<\/p>\n<\/details>\n

\n

Question 33.
\nCoordinates of A, B, C (in order) are:
\n(a) (2,0), (2,-2) (0,-2)
\n(b) (0,2), (-2,2), (-2,0)
\n(c) (-2,0), (2,2), (0,-2)
\n(d) (0,2), (2,2), (0,-2)<\/p>\n

\nAnswer<\/span><\/summary>\n

Answer: (b) (0,2), (-2,2), (-2,0)
\nA(0,2), B(-2,2), C(-2,0).
\n=> Correct option is (b).<\/p>\n<\/details>\n

\n

Question 34.
\nFind the values of x and y if ABCD is a cyclic quadrilateral, \u2220A = 6x + 10\u00b0, \u2220B = (5x)\u00b0, \u2220C = (x + y)\u00b0 (\u2220D)=(3y-10)\u00b0.
\n(a) x = 30\u00b0, y = 20\u00b0
\n(b) x = 20\u00b0, y = 30\u00b0
\n(c) x = 40\u00b0, y = 10\u00b0
\n(d) x = 10\u00b0, y = 40\u00b0<\/p>\n

\nAnswer<\/span><\/summary>\n

Answer: (b) x = 20\u00b0, y = 30\u00b0
\nABCD is cyclic
\n=> \u2220A + \u2220C = 180\u00b0 and \u2220B + \u2220D = 180\u00b0
\n=> 6x + 10 + x + y = 180\u00b0
\n=> 7x + y = 170\u00b0
\n5x + 3y – 10 = 180\u00b0
\n=> 5x + 3y = 190\u00b0
\nx = 20\u00b0, y = 30\u00b0 => Correct option is (b)<\/p>\n<\/details>\n

\n

Question 35.
\nIf x + 5y = 34 and x – 5y = – 6, find the value of 5y – 2x.
\n(a) – 8
\n(b) 14
\n(c) 8
\n(d) 20<\/p>\n

\nAnswer<\/span><\/summary>\n

Answer: (a) – 8
\nx + 5y = 34
\nx – 5y = – 6
\nx=14
\nSolving these,
\nx = 14; y = 4
\n=> Correct option is (a).<\/p>\n<\/details>\n

\n

Question 36.
\nFind the value of \u03bb = \\(\\frac{x}{y}\\) if bx – ay = a + bax + by = a-b.
\n(a) 2
\n(b) 1
\n(c) 0
\n(d) – 1<\/p>\n

\nAnswer<\/span><\/summary>\n

Answer: (d) -1
\nax + by=a – b
\nbx – ay =a + b
\nSolving these
\nx = 1
\ny = – 1
\n\u03bb = \\(\\frac{x}{y}\\) = – 1<\/p>\n<\/details>\n

\n

Question 37.
\nThe given system of equations,
\n– x + 2y + 2 = 0
\n\\(\\frac{1}{2}\\)x – \\(\\frac{1}{4}\\)y – 1= o, has :
\n(a) a unique solution
\n(b) infinite solutions
\n(c) no solution
\n(d) 2 solutions<\/p>\n

\nAnswer<\/span><\/summary>\n

Answer: (a) a unique solution
\n\\(\\frac{a1}{a2}\\) = \\(\\frac{- 1}{1\/2}\\) = 2
\n\\(\\frac{b1}{b2}\\) = \\(\\frac{2}{- 1\/4}\\) = – 8
\nsince \\(\\frac{a1}{a2}\\) \u2260 \\(\\frac{b1}{b2}\\) Given system of equations has a unique solution.<\/p>\n<\/details>\n

\n

Question 38.
\nThe pair of equations x = a and y = b graphically represents lines which are:
\n(a) parallel
\n(b) intersecting at (b, a)
\n(c) intersecting at (a, b)
\n(d) coincident<\/p>\n

\nAnswer<\/span><\/summary>\n

Answer: (c) intersecting at (a, b)
\nx = a and y = b graphically represents lines which are intersecting at (a, b)
\n=> Correct option is (c).<\/p>\n<\/details>\n

\n

Question 39.
\nIf x = a and y = b is the solution of the (a) coincident .equations \\(\\frac{4}{x}\\) + 3y = 14 and \\(\\frac{3}{x}\\) – 4y = 23, then the values of a and b are respectively:
\n(a) – 2 and 5
\n(b) 5 and – 2
\n(c) \\(\\frac{1}{5}\\) and – 2
\n(d) 5 and – \\(\\frac{1}{2}\\)<\/p>\n

\nAnswer<\/span><\/summary>\n

Answer: (c) \\(\\frac{1}{5}\\) and – 2
\nlet, \\(\\frac{1}{x}\\) = u
\n4 u + 3 y =14
\n3u \u25a1 4y = 23
\nu = 5
\ny = – 2
\nx = \\(\\frac{1}{5}\\)
\ny = – 2<\/p>\n<\/details>\n

\n

Question 40.
\nOne equation of a pair of dependent linear equations is -5x + 7y = 2. The second equation can be:
\n(a) 10x + 14y + 4 = 0
\n(b) – 10x – 14y + 4 = 0
\n(c) – 10x + 14y + 4 = 0
\n(d) 10x – 14y = – 4<\/p>\n

\nAnswer<\/span><\/summary>\n

Answer: (d) 10x – 14y = – 4
\n\\(\\frac{a1}{a2}\\) = \\(\\frac{b1}{b2}\\) = \\(\\frac{c1}{c2}\\)<\/p>\n<\/details>\n

\n

Question 41.
\nThe pair of equations y = 0 and y = – 7 has :
\n(a) no solution
\n(b) infinitely many solutions
\n(c) one solution
\n(d) two solutions<\/p>\n

\nAnswer<\/span><\/summary>\n

Answer: (a) no solution<\/p>\n<\/details>\n

\n

Question 42.
\nWhich of the following is not a solution of pair of equations 3x \u2013 2y = 4 and 6x \u2013 4y = 8?
\n(a) x = 5, y = 3
\n(b) x = 2, y = 1
\n(c) x = 6, y = 7
\n(d) x = 4, y = 4<\/p>\n

\nAnswer<\/span><\/summary>\n

Answer: (a) x = 5, y = 3<\/p>\n<\/details>\n

\n

Question 43.
\nThe pair of equations x = a and y = b graphically represents lines which are
\n(a) parallel
\n(b) intersecting at (b, a)
\n(c) coincident
\n(d) intersecting at (a, b)<\/p>\n

\nAnswer<\/span><\/summary>\n

Answer: (d) intersecting at (a, b)<\/p>\n<\/details>\n

\n

Question 44.
\nOne equation of a pair of dependent linear equations is – 5x + 7y = 2, the second equation can be :
\n(a) -10x + 14y + 4 = 0
\n(b) -10x \u2013 14x + 4 = 0
\n(c) 10x \u2013 14y = – 4
\n(d) 10x + 14y + 4 = 0<\/p>\n

\nAnswer<\/span><\/summary>\n

Answer: (c) 10x \u2013 14y = – 4<\/p>\n<\/details>\n

\n

Question 45.
\nTwo equations in two variables taken together are called
\n(a) linear equations
\n(b) quadratic equations
\n(c) simultaneous equations
\n(d) none of these<\/p>\n

\nAnswer<\/span><\/summary>\n

Answer: (c) simultaneous equations<\/p>\n<\/details>\n

\n

Question 46.
\n8 girls and 12 boys can finish work in 10 days while 6 girls and 8 boys can finish it in 14 days. Find the time taken by the one girl alone that by one boy alone to finish the work.
\n(a) 120, 130
\n(b) 140,280
\n(c) 240,280
\n(d) 100,120<\/p>\n

\nAnswer<\/span><\/summary>\n

Answer: (b) 140,280<\/p>\n<\/details>\n

\n

Question 47.
\nThe graph of y = 4x is a line
\n(a) parallel to x-axis
\n(b) parallel to y-axis
\n(c) perpendicular to y-axis
\n(d) passing through the origin<\/p>\n

\nAnswer<\/span><\/summary>\n

Answer: (d) passing through the origin<\/p>\n<\/details>\n

\n

Question 48.
\nIf the pair of equation has no solution, then the pair of equation is :
\n(a) inconsistent
\n(b) coincident
\n(c) consistent
\n(d) none of these<\/p>\n

\nAnswer<\/span><\/summary>\n

Answer: (a) inconsistent<\/p>\n<\/details>\n

\n

Question 49.
\nFind the value of \u2018a\u201d for which the system of equations ax + 2y \u2013 4 = 0 and x \u2013 y \u2013 3 = 0 will represent intersecting lines?
\n(a) a \u2260 -2
\n(b) a = -2
\n(c) a = 2
\n(d) a \u2260 2<\/p>\n

\nAnswer<\/span><\/summary>\n

Answer: (a) a \u2260 -2<\/p>\n<\/details>\n

\n

Question 50.
\nThe pair of equations 3x + 4y = k, 9x + 12y = 6 has infinitely many solutions if \u2013
\n(a) k = 2
\n(b) k = 6
\n(c) k = 6
\n(d) k = 3<\/p>\n

\nAnswer<\/span><\/summary>\n

Answer: (a) k = 2<\/p>\n<\/details>\n

\n

Question 51.
\nIf a pair of linear equations is consistent, then the lines will be
\n(a) always coincident
\n(b) parallel
\n(c) always intersecting
\n(d) intersecting or coincident<\/p>\n

\nAnswer<\/span><\/summary>\n

Answer: (d) intersecting or coincident<\/p>\n<\/details>\n

\n

Question 52.
\nWhich of following is not a solution of 3a + b = 12??
\n(a) (3, 3)
\n(b) (5, -3)
\n(c) (4, 0)
\n(d) (2, 4)<\/p>\n

\nAnswer<\/span><\/summary>\n

Answer: (d) (2, 4)<\/p>\n<\/details>\n

\n

Question 53.
\nHow many solutions of the equation 15x \u2013 14y + 11 = 0 are possible?
\n(a) 2
\n(b) No solution
\n(c) 1
\n(d) Infinite<\/p>\n

\nAnswer<\/span><\/summary>\n

Answer: (d) Infinite<\/p>\n<\/details>\n

\n

Question 54.
\nThe pair of equations 3x \u2013 5y = 7 and \u2013 6x + 10y = 7 have
\n(a) a unique solution
\n(b) infinitely many solutions
\n(c) no solution
\n(d) two solutions<\/p>\n

\nAnswer<\/span><\/summary>\n

Answer: (c) no solution<\/p>\n<\/details>\n

\n

Question 55.
\nThe graph of y = 5 is a line parallel to the
\n(a) x-axis
\n(b) y-axis
\n(c) both axis
\n(d) none of these<\/p>\n

\nAnswer<\/span><\/summary>\n

Answer: (a) x-axis<\/p>\n<\/details>\n

\n

Question 56.
\nThe value of k, for which equations 3x + 5y = 0 and kx + lOy = 0 has a non-zero solution is
\n(a) 6
\n(b) 0
\n(c) 2
\n(d) 5<\/p>\n

\nAnswer<\/span><\/summary>\n

Answer: (a) 6<\/p>\n<\/details>\n

\n

Question 57.
\nThe present age of a father is the sum of the ages of his three sons. Ten years from now his age will be a three quarter of the sum of their ages then. How old is the father?
\n(a) 50 years
\n(b) 30 years
\n(c) 40 years
\n(d) 60 years<\/p>\n

\nAnswer<\/span><\/summary>\n

Answer: (a) 50 years<\/p>\n<\/details>\n

\n

Question 58.
\nFind a and b for which (a – 1) x + 3y = 2, 6x + (1 – 2b) y = 6 infinite solution.?
\n(a) a = -7, b= -4
\n(b) a = -1, b = -4
\n(c) a = 3, b = -1
\n(d) a = 3, b = -4<\/p>\n

\nAnswer<\/span><\/summary>\n

Answer: (d) a = 3, b = -4<\/p>\n<\/details>\n

\n

Question 59.
\nThe graph of x = -2 is a line parallel to the
\n(a) x-axis
\n(b) y-axis
\n(c) both x- and y-axis
\n(d) none of these<\/p>\n

\nAnswer<\/span><\/summary>\n

Answer: (b) y-axis<\/p>\n<\/details>\n

\n

Question 60.
\nThe graph of the equation 2x + 3y = 5 is a
\n(a) vertical line
\n(b) straight line
\n(c) horizontal line
\n(d) none of these<\/p>\n

\nAnswer<\/span><\/summary>\n

Answer: (b) straight line<\/p>\n<\/details>\n

\n

Question 61.
\nIf am bl then the system of equations ax + by = c, lx + my = n, has
\n(a) a unique solution
\n(b) no solution
\n(c) infinitely many solutions
\n(d) none of these<\/p>\n

\nAnswer<\/span><\/summary>\n

Answer: (a) a unique solution<\/p>\n<\/details>\n

\n

Question 62.
\nFind the solution to the following system of linear equations:
\n2x-5y+4 = 0 2x+y-8 = 0?
\n(a) (3,-2)
\n(b) (2,3)
\n(c) (-1,2)
\n(d) (3,2)<\/p>\n

\nAnswer<\/span><\/summary>\n

Answer: (d) (3,2)<\/p>\n<\/details>\n

\n

Question 63.
\nWhich of the following pair of linear equations is inconsistent??
\n(a) 2x + 3y = 7; 4x + 6y = 5
\n(b) x \u2013 2y = 6; 2x + 3y = 4
\n(c) 9x \u2013 8y = 17; 18x -16y = 34
\n(d) 5x \u2013 3y =11; 7x + 2y =13<\/p>\n

\nAnswer<\/span><\/summary>\n

Answer: (a) 2x + 3y = 7; 4x + 6y = 5<\/p>\n<\/details>\n

\n

Question 64.
\nFind the solution to the following system of linear equations:
\n2p+3q = 9 p \u2013 q = 2?
\n(a) (4,2)
\n(b) (3,1)
\n(c) (2,-3)
\n(d) (-4,1)<\/p>\n

\nAnswer<\/span><\/summary>\n

Answer: (b) (3,1)<\/p>\n<\/details>\n

\n

Question 65.
\nIf x = a, y = b is the solution of the equations x + y = 5 and 2x \u2013 3y = 4, then the values of a and b are respectively
\n(a) 6, -1
\n(b) 2, 3
\n(c) 1, 4
\n(d) \\(\\frac { 19 }{ 5 }\\), \\(\\frac { 6 }{ 5 }\\)<\/p>\n

\nAnswer<\/span><\/summary>\n

Answer: (d) \\(\\frac { 19 }{ 5 }\\), \\(\\frac { 6 }{ 5 }\\)<\/p>\n<\/details>\n

\n

Question 66.
\nThe pair of linear equations 2kx + 5y = 7, 6x \u2013 5y = 11 has a unique solution if
\n(a) k = -3
\n(b) k = 3
\n(c) k = 5
\n(d) k = -5<\/p>\n

\nAnswer<\/span><\/summary>\n

Answer: (a) k = -3<\/p>\n<\/details>\n

\n

Question 67.
\nThe pair of equations x = 0 and x = 5 has
\n(a) no solution
\n(b) unique\/one solution
\n(c) two solutions
\n(d) infinitely many solutions<\/p>\n

\nAnswer<\/span><\/summary>\n

Answer: (c) two solutions<\/p>\n<\/details>\n

\n

Question 68.
\nIf A : Homogeneous system of linear equations is always consistent. R : x = 0, y = 0 is always a solution of the homogeneous system of equations with unknowns x and y, then which of the following statement is true?
\n(a) A is true and R is the correct explanation of A
\n(b) A is false and R is not a correrct explanation of A
\n(c) A is true and R is false
\n(d) A is false and R is true<\/p>\n

\nAnswer<\/span><\/summary>\n

Answer: (a) A is true and R is the correct explanation of A<\/p>\n<\/details>\n

\n

We believe the knowledge shared regarding NCERT MCQ Questions for Class 10 Maths Chapter 3 Pair of Linear Equations in Two Variables with Answers Pdf free download has been useful to the possible extent. If you have any other queries regarding CBSE Class 10 Maths Pair of Linear Equations in Two Variables MCQs Multiple Choice Questions with Answers, feel free to reach us via the comment section and we will guide you with the possible solution.<\/p>\n","protected":false},"excerpt":{"rendered":"

Students can access the NCERT MCQ Questions for Class 10 Maths Chapter 3 Pair of Linear Equations in Two Variables with Answers Pdf free download aids in your exam preparation and you can get a good hold of the chapter. Use MCQ Questions for Class 10 Maths with Answers during preparation and score maximum marks …<\/p>\n

MCQ Questions for Class 10 Maths Chapter 3 Pair of Linear Equations in Two Variables with Answers<\/span> Read More »<\/a><\/p>\n","protected":false},"author":9,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"spay_email":""},"categories":[35],"tags":[],"yoast_head":"\nMCQ Questions for Class 10 Maths Chapter 3 Pair of Linear Equations in Two Variables with Answers - NCERT Solutions<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/ncertsolutions.guru\/mcq-questions-for-class-10-maths-chapter-3\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"MCQ Questions for Class 10 Maths Chapter 3 Pair of Linear Equations in Two Variables with Answers - NCERT Solutions\" \/>\n<meta property=\"og:description\" content=\"Students can access the NCERT MCQ Questions for Class 10 Maths Chapter 3 Pair of Linear Equations in Two Variables with Answers Pdf free download aids in your exam preparation and you can get a good hold of the chapter. Use MCQ Questions for Class 10 Maths with Answers during preparation and score maximum marks … MCQ Questions for Class 10 Maths Chapter 3 Pair of Linear Equations in Two Variables with Answers Read More »\" \/>\n<meta property=\"og:url\" content=\"https:\/\/ncertsolutions.guru\/mcq-questions-for-class-10-maths-chapter-3\/\" \/>\n<meta property=\"og:site_name\" content=\"NCERT Solutions\" \/>\n<meta property=\"article:publisher\" content=\"https:\/\/www.facebook.com\/NCERTSolutionsGuru\/\" \/>\n<meta property=\"article:published_time\" content=\"2020-09-16T11:26:08+00:00\" \/>\n<meta property=\"article:modified_time\" content=\"2020-10-09T06:37:36+00:00\" \/>\n<meta property=\"og:image\" content=\"https:\/\/ncertsolutions.guru\/wp-content\/uploads\/2020\/09\/MCQ-Questions-for-Class-10-Maths-Chapter-3-Pair-of-Linear-Equations-in-Two-Variables-with-Answers-1.png\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:creator\" content=\"@ncertsolguru\" \/>\n<meta name=\"twitter:site\" content=\"@ncertsolguru\" \/>\n<meta name=\"twitter:label1\" content=\"Written by\" \/>\n\t<meta name=\"twitter:data1\" content=\"Prasanna\" \/>\n\t<meta name=\"twitter:label2\" content=\"Est. reading time\" \/>\n\t<meta name=\"twitter:data2\" content=\"16 minutes\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\/\/schema.org\",\"@graph\":[{\"@type\":\"Organization\",\"@id\":\"https:\/\/ncertsolutions.guru\/#organization\",\"name\":\"NCERT Solutions\",\"url\":\"https:\/\/ncertsolutions.guru\/\",\"sameAs\":[\"https:\/\/www.facebook.com\/NCERTSolutionsGuru\/\",\"https:\/\/www.instagram.com\/ncertsolutionsguru\/\",\"https:\/\/www.linkedin.com\/in\/ncertsolutionsguru\/\",\"https:\/\/in.pinterest.com\/ncertsolutionsguru\/\",\"https:\/\/en.wikipedia.org\/wiki\/National_Council_of_Educational_Research_and_Training\",\"https:\/\/twitter.com\/ncertsolguru\"],\"logo\":{\"@type\":\"ImageObject\",\"@id\":\"https:\/\/ncertsolutions.guru\/#logo\",\"inLanguage\":\"en-US\",\"url\":\"https:\/\/i1.wp.com\/ncertsolutions.guru\/wp-content\/uploads\/2020\/05\/NCERT-Solutions.png?fit=460%2C45&ssl=1\",\"contentUrl\":\"https:\/\/i1.wp.com\/ncertsolutions.guru\/wp-content\/uploads\/2020\/05\/NCERT-Solutions.png?fit=460%2C45&ssl=1\",\"width\":460,\"height\":45,\"caption\":\"NCERT Solutions\"},\"image\":{\"@id\":\"https:\/\/ncertsolutions.guru\/#logo\"}},{\"@type\":\"WebSite\",\"@id\":\"https:\/\/ncertsolutions.guru\/#website\",\"url\":\"https:\/\/ncertsolutions.guru\/\",\"name\":\"NCERT Solutions\",\"description\":\"NCERT Solutions for Class 1 to 12\",\"publisher\":{\"@id\":\"https:\/\/ncertsolutions.guru\/#organization\"},\"potentialAction\":[{\"@type\":\"SearchAction\",\"target\":{\"@type\":\"EntryPoint\",\"urlTemplate\":\"https:\/\/ncertsolutions.guru\/?s={search_term_string}\"},\"query-input\":\"required name=search_term_string\"}],\"inLanguage\":\"en-US\"},{\"@type\":\"ImageObject\",\"@id\":\"https:\/\/ncertsolutions.guru\/mcq-questions-for-class-10-maths-chapter-3\/#primaryimage\",\"inLanguage\":\"en-US\",\"url\":\"https:\/\/i2.wp.com\/ncertsolutions.guru\/wp-content\/uploads\/2020\/09\/MCQ-Questions-for-Class-10-Maths-Chapter-3-Pair-of-Linear-Equations-in-Two-Variables-with-Answers-1.png?fit=122%2C117&ssl=1\",\"contentUrl\":\"https:\/\/i2.wp.com\/ncertsolutions.guru\/wp-content\/uploads\/2020\/09\/MCQ-Questions-for-Class-10-Maths-Chapter-3-Pair-of-Linear-Equations-in-Two-Variables-with-Answers-1.png?fit=122%2C117&ssl=1\",\"width\":122,\"height\":117,\"caption\":\"MCQ Questions for Class 10 Maths Chapter 3 Pair of Linear Equations in Two Variables with Answers 1\"},{\"@type\":\"WebPage\",\"@id\":\"https:\/\/ncertsolutions.guru\/mcq-questions-for-class-10-maths-chapter-3\/#webpage\",\"url\":\"https:\/\/ncertsolutions.guru\/mcq-questions-for-class-10-maths-chapter-3\/\",\"name\":\"MCQ Questions for Class 10 Maths Chapter 3 Pair of Linear Equations in Two Variables with Answers - NCERT Solutions\",\"isPartOf\":{\"@id\":\"https:\/\/ncertsolutions.guru\/#website\"},\"primaryImageOfPage\":{\"@id\":\"https:\/\/ncertsolutions.guru\/mcq-questions-for-class-10-maths-chapter-3\/#primaryimage\"},\"datePublished\":\"2020-09-16T11:26:08+00:00\",\"dateModified\":\"2020-10-09T06:37:36+00:00\",\"breadcrumb\":{\"@id\":\"https:\/\/ncertsolutions.guru\/mcq-questions-for-class-10-maths-chapter-3\/#breadcrumb\"},\"inLanguage\":\"en-US\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\/\/ncertsolutions.guru\/mcq-questions-for-class-10-maths-chapter-3\/\"]}]},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\/\/ncertsolutions.guru\/mcq-questions-for-class-10-maths-chapter-3\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Home\",\"item\":\"https:\/\/ncertsolutions.guru\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"MCQ Questions for Class 10 Maths Chapter 3 Pair of Linear Equations in Two Variables with Answers\"}]},{\"@type\":\"Article\",\"@id\":\"https:\/\/ncertsolutions.guru\/mcq-questions-for-class-10-maths-chapter-3\/#article\",\"isPartOf\":{\"@id\":\"https:\/\/ncertsolutions.guru\/mcq-questions-for-class-10-maths-chapter-3\/#webpage\"},\"author\":{\"@id\":\"https:\/\/ncertsolutions.guru\/#\/schema\/person\/4ba9570f32f2057e70e670c7885e47f3\"},\"headline\":\"MCQ Questions for Class 10 Maths Chapter 3 Pair of Linear Equations in Two Variables with Answers\",\"datePublished\":\"2020-09-16T11:26:08+00:00\",\"dateModified\":\"2020-10-09T06:37:36+00:00\",\"mainEntityOfPage\":{\"@id\":\"https:\/\/ncertsolutions.guru\/mcq-questions-for-class-10-maths-chapter-3\/#webpage\"},\"wordCount\":3245,\"publisher\":{\"@id\":\"https:\/\/ncertsolutions.guru\/#organization\"},\"image\":{\"@id\":\"https:\/\/ncertsolutions.guru\/mcq-questions-for-class-10-maths-chapter-3\/#primaryimage\"},\"thumbnailUrl\":\"https:\/\/ncertsolutions.guru\/wp-content\/uploads\/2020\/09\/MCQ-Questions-for-Class-10-Maths-Chapter-3-Pair-of-Linear-Equations-in-Two-Variables-with-Answers-1.png\",\"articleSection\":[\"MCQ Questions\"],\"inLanguage\":\"en-US\"},{\"@type\":\"Person\",\"@id\":\"https:\/\/ncertsolutions.guru\/#\/schema\/person\/4ba9570f32f2057e70e670c7885e47f3\",\"name\":\"Prasanna\",\"image\":{\"@type\":\"ImageObject\",\"@id\":\"https:\/\/ncertsolutions.guru\/#personlogo\",\"inLanguage\":\"en-US\",\"url\":\"https:\/\/secure.gravatar.com\/avatar\/174540ad43736c7d1a4c4f83c775e74d?s=96&d=mm&r=g\",\"contentUrl\":\"https:\/\/secure.gravatar.com\/avatar\/174540ad43736c7d1a4c4f83c775e74d?s=96&d=mm&r=g\",\"caption\":\"Prasanna\"},\"url\":\"https:\/\/ncertsolutions.guru\/author\/prasanna\/\"}]}<\/script>\n<!-- \/ Yoast SEO plugin. -->","yoast_head_json":{"title":"MCQ Questions for Class 10 Maths Chapter 3 Pair of Linear Equations in Two Variables with Answers - NCERT Solutions","robots":{"index":"index","follow":"follow","max-snippet":"max-snippet:-1","max-image-preview":"max-image-preview:large","max-video-preview":"max-video-preview:-1"},"canonical":"https:\/\/ncertsolutions.guru\/mcq-questions-for-class-10-maths-chapter-3\/","og_locale":"en_US","og_type":"article","og_title":"MCQ Questions for Class 10 Maths Chapter 3 Pair of Linear Equations in Two Variables with Answers - NCERT Solutions","og_description":"Students can access the NCERT MCQ Questions for Class 10 Maths Chapter 3 Pair of Linear Equations in Two Variables with Answers Pdf free download aids in your exam preparation and you can get a good hold of the chapter. Use MCQ Questions for Class 10 Maths with Answers during preparation and score maximum marks … MCQ Questions for Class 10 Maths Chapter 3 Pair of Linear Equations in Two Variables with Answers Read More »","og_url":"https:\/\/ncertsolutions.guru\/mcq-questions-for-class-10-maths-chapter-3\/","og_site_name":"NCERT Solutions","article_publisher":"https:\/\/www.facebook.com\/NCERTSolutionsGuru\/","article_published_time":"2020-09-16T11:26:08+00:00","article_modified_time":"2020-10-09T06:37:36+00:00","og_image":[{"url":"https:\/\/ncertsolutions.guru\/wp-content\/uploads\/2020\/09\/MCQ-Questions-for-Class-10-Maths-Chapter-3-Pair-of-Linear-Equations-in-Two-Variables-with-Answers-1.png"}],"twitter_card":"summary_large_image","twitter_creator":"@ncertsolguru","twitter_site":"@ncertsolguru","twitter_misc":{"Written by":"Prasanna","Est. reading time":"16 minutes"},"schema":{"@context":"https:\/\/schema.org","@graph":[{"@type":"Organization","@id":"https:\/\/ncertsolutions.guru\/#organization","name":"NCERT Solutions","url":"https:\/\/ncertsolutions.guru\/","sameAs":["https:\/\/www.facebook.com\/NCERTSolutionsGuru\/","https:\/\/www.instagram.com\/ncertsolutionsguru\/","https:\/\/www.linkedin.com\/in\/ncertsolutionsguru\/","https:\/\/in.pinterest.com\/ncertsolutionsguru\/","https:\/\/en.wikipedia.org\/wiki\/National_Council_of_Educational_Research_and_Training","https:\/\/twitter.com\/ncertsolguru"],"logo":{"@type":"ImageObject","@id":"https:\/\/ncertsolutions.guru\/#logo","inLanguage":"en-US","url":"https:\/\/i1.wp.com\/ncertsolutions.guru\/wp-content\/uploads\/2020\/05\/NCERT-Solutions.png?fit=460%2C45&ssl=1","contentUrl":"https:\/\/i1.wp.com\/ncertsolutions.guru\/wp-content\/uploads\/2020\/05\/NCERT-Solutions.png?fit=460%2C45&ssl=1","width":460,"height":45,"caption":"NCERT Solutions"},"image":{"@id":"https:\/\/ncertsolutions.guru\/#logo"}},{"@type":"WebSite","@id":"https:\/\/ncertsolutions.guru\/#website","url":"https:\/\/ncertsolutions.guru\/","name":"NCERT Solutions","description":"NCERT Solutions for Class 1 to 12","publisher":{"@id":"https:\/\/ncertsolutions.guru\/#organization"},"potentialAction":[{"@type":"SearchAction","target":{"@type":"EntryPoint","urlTemplate":"https:\/\/ncertsolutions.guru\/?s={search_term_string}"},"query-input":"required name=search_term_string"}],"inLanguage":"en-US"},{"@type":"ImageObject","@id":"https:\/\/ncertsolutions.guru\/mcq-questions-for-class-10-maths-chapter-3\/#primaryimage","inLanguage":"en-US","url":"https:\/\/i2.wp.com\/ncertsolutions.guru\/wp-content\/uploads\/2020\/09\/MCQ-Questions-for-Class-10-Maths-Chapter-3-Pair-of-Linear-Equations-in-Two-Variables-with-Answers-1.png?fit=122%2C117&ssl=1","contentUrl":"https:\/\/i2.wp.com\/ncertsolutions.guru\/wp-content\/uploads\/2020\/09\/MCQ-Questions-for-Class-10-Maths-Chapter-3-Pair-of-Linear-Equations-in-Two-Variables-with-Answers-1.png?fit=122%2C117&ssl=1","width":122,"height":117,"caption":"MCQ Questions for Class 10 Maths Chapter 3 Pair of Linear Equations in Two Variables with Answers 1"},{"@type":"WebPage","@id":"https:\/\/ncertsolutions.guru\/mcq-questions-for-class-10-maths-chapter-3\/#webpage","url":"https:\/\/ncertsolutions.guru\/mcq-questions-for-class-10-maths-chapter-3\/","name":"MCQ Questions for Class 10 Maths Chapter 3 Pair of Linear Equations in Two Variables with Answers - NCERT Solutions","isPartOf":{"@id":"https:\/\/ncertsolutions.guru\/#website"},"primaryImageOfPage":{"@id":"https:\/\/ncertsolutions.guru\/mcq-questions-for-class-10-maths-chapter-3\/#primaryimage"},"datePublished":"2020-09-16T11:26:08+00:00","dateModified":"2020-10-09T06:37:36+00:00","breadcrumb":{"@id":"https:\/\/ncertsolutions.guru\/mcq-questions-for-class-10-maths-chapter-3\/#breadcrumb"},"inLanguage":"en-US","potentialAction":[{"@type":"ReadAction","target":["https:\/\/ncertsolutions.guru\/mcq-questions-for-class-10-maths-chapter-3\/"]}]},{"@type":"BreadcrumbList","@id":"https:\/\/ncertsolutions.guru\/mcq-questions-for-class-10-maths-chapter-3\/#breadcrumb","itemListElement":[{"@type":"ListItem","position":1,"name":"Home","item":"https:\/\/ncertsolutions.guru\/"},{"@type":"ListItem","position":2,"name":"MCQ Questions for Class 10 Maths Chapter 3 Pair of Linear Equations in Two Variables with Answers"}]},{"@type":"Article","@id":"https:\/\/ncertsolutions.guru\/mcq-questions-for-class-10-maths-chapter-3\/#article","isPartOf":{"@id":"https:\/\/ncertsolutions.guru\/mcq-questions-for-class-10-maths-chapter-3\/#webpage"},"author":{"@id":"https:\/\/ncertsolutions.guru\/#\/schema\/person\/4ba9570f32f2057e70e670c7885e47f3"},"headline":"MCQ Questions for Class 10 Maths Chapter 3 Pair of Linear Equations in Two Variables with Answers","datePublished":"2020-09-16T11:26:08+00:00","dateModified":"2020-10-09T06:37:36+00:00","mainEntityOfPage":{"@id":"https:\/\/ncertsolutions.guru\/mcq-questions-for-class-10-maths-chapter-3\/#webpage"},"wordCount":3245,"publisher":{"@id":"https:\/\/ncertsolutions.guru\/#organization"},"image":{"@id":"https:\/\/ncertsolutions.guru\/mcq-questions-for-class-10-maths-chapter-3\/#primaryimage"},"thumbnailUrl":"https:\/\/ncertsolutions.guru\/wp-content\/uploads\/2020\/09\/MCQ-Questions-for-Class-10-Maths-Chapter-3-Pair-of-Linear-Equations-in-Two-Variables-with-Answers-1.png","articleSection":["MCQ Questions"],"inLanguage":"en-US"},{"@type":"Person","@id":"https:\/\/ncertsolutions.guru\/#\/schema\/person\/4ba9570f32f2057e70e670c7885e47f3","name":"Prasanna","image":{"@type":"ImageObject","@id":"https:\/\/ncertsolutions.guru\/#personlogo","inLanguage":"en-US","url":"https:\/\/secure.gravatar.com\/avatar\/174540ad43736c7d1a4c4f83c775e74d?s=96&d=mm&r=g","contentUrl":"https:\/\/secure.gravatar.com\/avatar\/174540ad43736c7d1a4c4f83c775e74d?s=96&d=mm&r=g","caption":"Prasanna"},"url":"https:\/\/ncertsolutions.guru\/author\/prasanna\/"}]}},"jetpack_featured_media_url":"","_links":{"self":[{"href":"https:\/\/ncertsolutions.guru\/wp-json\/wp\/v2\/posts\/8305"}],"collection":[{"href":"https:\/\/ncertsolutions.guru\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/ncertsolutions.guru\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/ncertsolutions.guru\/wp-json\/wp\/v2\/users\/9"}],"replies":[{"embeddable":true,"href":"https:\/\/ncertsolutions.guru\/wp-json\/wp\/v2\/comments?post=8305"}],"version-history":[{"count":0,"href":"https:\/\/ncertsolutions.guru\/wp-json\/wp\/v2\/posts\/8305\/revisions"}],"wp:attachment":[{"href":"https:\/\/ncertsolutions.guru\/wp-json\/wp\/v2\/media?parent=8305"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/ncertsolutions.guru\/wp-json\/wp\/v2\/categories?post=8305"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/ncertsolutions.guru\/wp-json\/wp\/v2\/tags?post=8305"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}