{"id":27911,"date":"2021-07-02T14:21:52","date_gmt":"2021-07-02T08:51:52","guid":{"rendered":"https:\/\/ncertsolutions.guru\/?p=27911"},"modified":"2021-07-02T14:21:52","modified_gmt":"2021-07-02T08:51:52","slug":"ncert-solutions-for-class-10-maths-chapter-7-ex-7-1","status":"publish","type":"post","link":"https:\/\/ncertsolutions.guru\/ncert-solutions-for-class-10-maths-chapter-7-ex-7-1\/","title":{"rendered":"NCERT Solutions for Class 10 Maths Chapter 7 Coordinate Geometry Ex 7.1"},"content":{"rendered":"

These NCERT Solutions for Class 10 Maths<\/a> Chapter 7 Coordinate Geometry Ex 7.1 Questions and Answers are prepared by our highly skilled subject experts.<\/p>\n

NCERT Solutions for Class 10 Maths Chapter 7 Coordinate Geometry Exercise 7.1<\/h2>\n

\"NCERT<\/p>\n

Question 1.
\nFind the distance between the following pairs of points:
\n(i) (2, 3), (4, 1)
\n(ii) (-5, 7), (-1, 3)
\n(iii) (a, b), (-a, -b)
\nSolution:
\n(i) Let P (2, 3) and Q (4, 1) be the two points. Therefore, by distance formula we know that
\n\"NCERT
\nTherefore distance between points (2, 3) and (4, 11) is 2\\(\\sqrt{2}\\) unit.<\/p>\n

(ii) Let P (- 5, 7) and Q (- 1, 3) be two points.
\nTherefor by distance formula we know that
\n\"NCERT
\nTherefore, distance between points (- 5, 7) and (- 1, 3) is 4\\(\\sqrt{2}\\) unit.<\/p>\n

(iii) Let P (a, b) and Q (-a, – b) be the points.
\nTherefore, by distance formula we know that
\n\"NCERT
\nTherefore, distance between points (a. b) and (- a, – b) is 2\\(\\sqrt{a^{2}+b^{2}}\\) unit.<\/p>\n

Question 2.
\nFind the distance between the points (0, 0) and (36, 15).
\nSolution:
\nThe distance between the points (0,0) and (36,15) by using distance formula, the distance of point P (x1<\/sub>, y1<\/sub>) from (0, 0) are
\n\"NCERT
\nThe distance between two towns is 39 km.<\/p>\n

\"NCERT<\/p>\n

Question 3.
\nDetermine if the points (1, 5), (2, 3) and (-2, -11) are collinear.
\nSolution:
\nLet points be A (1, 5), B (2, 3) and C (-2, -11)
\n\"NCERT<\/p>\n

Question 4.
\nCheck whether (5, -2), (6, 4) and (7, -2) are the vertices of an isosceles triangle.
\nSolution:
\nLet points be A(5, -2), B (6, 4) and C (7, -2)
\n\"NCERT
\nTherefore, points (1,5), (2, 3) and (-2, -11) are not collinear.<\/p>\n

Question 5.
\nIn a classroom, 4 friends are seated at the points A, B, C and D as shown in given figure. Champa and Chameli walk into the class and after observing for a few minutes Champa asks Chameli, \u201cDon\u2019t you think ABCD is a square?\u201d Chameli disagrees. Using distance formula, find which of them is correct.
\nSolution:
\nPoints A (3, 4), B (6, 7), C (9, 4) and D (6, 1)
\n\"NCERT
\nBy distance formula we come to know that Champa is correct. The quadrilateral ABCD is a square
\nBecause AB = BC = CD = DA = 3\\(\\sqrt{2}\\)<\/p>\n

\"NCERT<\/p>\n

Question 6.
\nName the type of quadrilateral formed, if any, by the following points, and give reasons for your answer.
\n(i) (-1, -2), (1, 0), (-1, 2), (-3, 0)
\n(ii) (-3, 5), (3, 1), (0, 3), (-1, -4)
\n(iii) (4, 5), (7, 6), (4, 3), (1, 2)
\nSolution:
\n(i) Let points be A (-1, -2), B (1, 0), C (-1, 2) and D (-3, 0) be the vertices of quadrilateral.
\nTherefore, by distance formula, we know that
\n\"NCERT
\nAB = BC = CD = AD and diagonals AC = BD
\nSo, the quadrilateral formed by points (-1, -2), (1, 0), (-1,2) and (-3, 0) is a square.<\/p>\n

(ii) Let A (-3, 5), B (3, 1), C = (0, 3) and D = (-1, -4) be the vertices of quadrilateral.
\nTherefore, by distance formula, we know that
\n\"NCERT
\nThere is no quadrilateral from the given points.<\/p>\n

(iii) Let A (4, 5), B (7, 6), C (4,3) and D (1,2) be the vertices of quadrilateral ABCD.
\nTherefore, by distance formula, we know that
\n\"NCERT
\nThe points (4,5), (7,6), (4,3) and (1,2) form a parallelogram.<\/p>\n

\"NCERT<\/p>\n

Question 7.
\nFind the point on the x-axis which is equidistant from (2, -5) and (-2, 9).
\nSolution:
\nLet P (x, 0) be a point on x-axis which is equidistant from the points. A (2, -5) and B (-2, 9)
\nUsing the distance formula, we have
\n\"NCERT
\nHence, the required point on the x-axis is P (x, 0) = P (-7, 0)<\/p>\n

Question 8.
\nFind the values of y for which the distance between the points P (2, -3) and Q (10, y) is 10 units.
\nSolution:
\nBy distance formula we know that
\n\"
\nTherefore, the values of y are – 9 and 3<\/p>\n

Question 9.
\nIF Q (0, 1) is equidistant from P (5, – 3) and R (x, 6), find the value of x. Also find the distances QR and PR.
\nSolution:
\nBy distance formula we know that.
\n\"NCERT
\nAccording the question,
\n\"NCERT
\nNow the points Q (0,1), P (5, -3) and R (4, 6) by using of distance formula.
\n\"NCERT<\/p>\n

\"NCERT<\/p>\n

Question 10.
\nFind the relation between between x and y such that the point (x, y) is equidistant from the point (3, 6) and (3, 4).
\nSolution:
\nLet the points be P (x, y), Q (3, 6) and R (- 3, 4). By using distance formula.
\n\"NCERT<\/p>\n","protected":false},"excerpt":{"rendered":"

These NCERT Solutions for Class 10 Maths Chapter 7 Coordinate Geometry Ex 7.1 Questions and Answers are prepared by our highly skilled subject experts. NCERT Solutions for Class 10 Maths Chapter 7 Coordinate Geometry Exercise 7.1 Question 1. Find the distance between the following pairs of points: (i) (2, 3), (4, 1) (ii) (-5, 7), …<\/p>\n

NCERT Solutions for Class 10 Maths Chapter 7 Coordinate Geometry Ex 7.1<\/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":[2],"tags":[],"yoast_head":"\nNCERT Solutions for Class 10 Maths Chapter 7 Coordinate Geometry Ex 7.1 - 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\/ncert-solutions-for-class-10-maths-chapter-7-ex-7-1\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"NCERT Solutions for Class 10 Maths Chapter 7 Coordinate Geometry Ex 7.1 - NCERT Solutions\" \/>\n<meta property=\"og:description\" content=\"These NCERT Solutions for Class 10 Maths Chapter 7 Coordinate Geometry Ex 7.1 Questions and Answers are prepared by our highly skilled subject experts. 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