Students can access the NCERT MCQ Questions for Class 10 Maths Chapter 4 Quadratic Equations 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 in the exam. Students can download the Quadratic Equations 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 4 Quadratic Equations Objective Questions.
Quadratic Equations Class 10 MCQs Questions with Answers
Students are advised to solve the Quadratic Equations Multiple Choice Questions of Class 10 Maths to know different concepts. Practicing the MCQ Questions on Quadratic Equations Class 10 with answers will boost your confidence thereby helping you score well in the exam.
Explore numerous MCQ Questions of Quadratic Equations Class 10 with answers provided with detailed solutions by looking below.
Question 1.
One year ago, a man was 8 times as old as his son. Now his age is equal to the square of his son’s age. Their present ages are
(a) 7 years, 49 years
(b) 5 years, 25 years
(c) 1 years, 50 years
(d) 6 years, 49 years
Answer
Answer: (a) 7 years, 49 years
Question 2.
If -5 is a root of the quadratic equation 2x2 + px – 15 = 0, then
(a) p = 3
(b) p = 5
(c) p = 7
(d) p = 1
Answer
Answer: (c) p = 7
Question 3.
The two consecutive odd positive integers, sum of whose squares is 290 are
(a) 13, 15
(b) 11, 13
(c) 7, 9
(d) 5, 7
Answer
Answer: (b) 11, 13
Question 4.
The value of b2 – 4ac for equation 3x2 – 7x – 2 = 0 is
(a) 49
(b) 0
(c) 25
(d) 73
Answer
Answer: (d) 73
Equations with square roots Calculator online with solution and steps.
Question 5.
Value(s) of k for which the quadratic equation 2x2 -kx + k = 0 has equal roots is
(a) 0
(b) 4
(c) 8
(d) 0 and 8
Answer
Answer: (d) 0 and 8
Question 6.
Find the two consecutive odd positive integers, sum of whose square is 290
(a) 15, 17
(b) 9, 11
(c) 13, 15
(d) 11, 13
Answer
Answer: (d) 11, 13
Question 7.
Which of the following are the roots of the quadratic equation, x2 – 9x + 20 = 0 by factorisation?
(a) 3,4
(b) 4, 5
(c) 5, 6
(d) 6, 7
Answer
Answer: (b) 4, 5
Question 8.
Reduction of a rupee in the price of onion makes the possibility of buying one more kg of onion for Rs.56. Find the original price of the onion per kg?
(a) 7
(b) 1
(c) 7, -8
(d) 8
Answer
Answer: (d) 8
Question 9.
The equation (x – 2)2 + 1 = 2x – 3 is a
(a) linear equation
(b) quadratic equation
(c) cubic equation
(d) bi-quadratic equation
Answer
Answer: (b) quadratic equation
Question 10.
Two candidates attempt to solve a quadratic equation of the form x2 + px + q = 0. One starts with a wrong value of p and finds the roots to be 2 and 6. The other starts with a wrong value of q and finds the roots to be 2 and – 9. Find the correct roots of the equation :
(a) 3, 4
(b) – 3, – 4
(c) 3, – 4
(d) – 3, 4
Answer
Answer: (b) – 3, – 4
Question 11.
The quadratic equation has degree
(a) 0
(b) 1
(c) 2
(d) 3
Answer
Answer: (c) 2
Question 12.
The polynomial equation x (x + 1) + 8 = (x + 2) (x – 2) is
(a) linear equation
(b) quadratic equation
(c) cubic equation
(d) bi-quadratic equation
Answer
Answer: (a) linear equation
Polynomial Root Calculator makes your calculations easier. Use this tool to solve Roots of polynomials & avail the output within no time with detailed
Question 13.
If (x – a) is one of the factors of the polynomial ax2 + bx + c, then one of the roots of ax2 + bx + c = 0 is
(a) 1
(b) c
(c) a
(d) none of these
Answer
Answer: (c) a
Question 14.
The equation x2 – px + q = 0 p, q e R has no real roots if :
(a) p2 > 4q
(b) p2 < 4q
(c) p2 = 4q
(d) None of these
Answer
Answer: (b) p2 < 4q
Question 15.
The roots of the equation (b – c) x2 + (c – a) x + (a – b) = 0 are equal, then
(a) 2a = b + c
(b) 2c = a + b
(c) b = a + c
(d) 2b = a + c
Answer
Answer: (d) 2b = a + c
Question 16.
If the roots of px2 + qx + 2 = 0 are reciprocal of each other, then
(a) P = 0
(b) p = -2
(c) p = ±2
(d) p = 2
Answer
Answer: (d) p = 2
Question 17.
If a, p are the roots of the equation (x – a) (x – b) + c = 0, then the roots of the equation (x – a) (x – P) = c are
(a) a, b
(b) a, c
(c) b, c
(d) none of these
Answer
Answer: (a) a, b
Question 18.
The sum of the roots of the quadratic equation 3x2 – 9x + 5 = 0 is
(a) 3
(b) 6
(c) -3
(d) 2
Answer
Answer: (c) -3
Question 19.
The cubic equation has degree
(a) 1
(b) 2
(c) 3
(d) 4
Answer
Answer: (c) 3
Question 20.
The equation 2x2 + kx + 3 = 0 has two equal roots, then the value of k is
(a) ±√6
(b) ± 4
(c) ±3√2
(d) ±2√6
Answer
Answer: (d) ±2v6
Question 21.
The quadratic equation whose one rational root is 3 + v2 is
(a) x2 – 7x + 5 = 0
(b) x2 + 7x + 6 = 0
(c) x2 – 7x + 6 = 0
(d) x2 – 6x + 7 = 0
Answer
Answer: (d) x2 – 6x + 7 = 0
Question 22.
A bi-quadratic equation has degree
(a) 1
(b) 2
(c) 3
(d) 4
Answer
Answer: (d) 4
Question 23.
If 7th and 13th term of an A.P. are 34 and 64 respectively, then its 18th term is
(a) 87
(b) 88
(c) 89
(d) 90
Answer
Answer: (c) 89
Question 24.
The quadratic equation 2x2 – 3x + 5 = 0 has?
(a) Real and distinct roots
(b) Real and equal roots
(c) Imaginary roots
(d) All of the above
Answer
Answer: (c) Imaginary roots
We believe the knowledge shared regarding NCERT MCQ Questions for Class 10 Maths Chapter 4 Quadratic Equations with Answers Pdf free download has been useful to the possible extent. If you have any other queries regarding CBSE Class 10 Maths Quadratic Equations MCQs Multiple Choice Questions with Answers, feel free to reach us via the comment section and we will guide you with the possible solution.