# MCQs for Mathematics Class 10 with Answers Chapter 4 Quadratic Equation

Students of class 10 Mathematics should refer to MCQ Questions Class 10 Mathematics Quadratic Equation with answers provided here which is an important chapter in Class 10 Mathematics NCERT textbook. These MCQ for Class 10 Mathematics with Answers have been prepared based on the latest CBSE and NCERT syllabus and examination guidelines for Class 10 Mathematics. The following MCQs can help you to practice and get better marks in the upcoming class 10 Mathematics examination

MCQ Questions Class 10 Mathematics Quadratic Equation provided below have been prepared by expert teachers of grade 10. These objective questions with solutions are expected to come in the upcoming Standard 10 examinations. Learn the below provided MCQ questions to get better marks in examinations.

Question. 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

D

Question. The value of b 2 – 4ac for equation 3x 2 – 7x – 2 = 0 is
(a) 49
(b) 0
(c) 25
(d) 73

D

Question. 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

C

Question. The quadratic equation whose one rational root is 3 + v2 is
(a) x2 – 7x + 5 = 0
(b) x 2 + 7x + 6 = 0
(c) x 2 – 7x + 6 = 0
(d) x 2 – 6x + 7 = 0

D

Question. Value(s) of k for which the quadratic equation 2x 2 -kx + k = 0 has equal roots is
(a) 0
(b) 4
(c) 8
(d) 0 and 8

D

Question. The quadratic equation 2x 2 – 3x + 5 = 0 has?
(a) Real and distinct roots
(b) Real and equal roots
(c) Imaginary roots
(d) All of the above

C

Question. A bi-quadratic equation has degree
(a) 1
(b) 2
(c) 3
(d) 4

D

Question. The quadratic equation has degree
(a) 0
(b) 1
(c) 2
(d) 3

C

Question. Which of the following are the roots of the quadratic equation, x 2 – 9x + 20 = 0 by factorisation?
(a) 3,4
(b) 4, 5
(c) 5, 6
(d) 6, 7

B

Question. The polynomial equation x (x + 1) + 8 = (x + 2) (x – 2) is
(a) linear equation
(c) cubic equation

A

Question. If (x – a) is one of the factors of the polynomial ax 2 + bx + c, then one of the roots of ax 2 + bx + c= 0 is
(a) 1
(b) c
(c) a
(d) none of these

C

Question. The equation x 2 – px + q = 0 p, q e R has no real roots if :
(a) p 2 > 4q
(b) p 2 < 4q
(c) p 2 = 4q
(d) None of these

B

Question. One year ago, a man was 8 times as old as his son. Now his age is equal to the square of his son’sage. Their present ages are
(a) 7 years, 49 years
(b) 5 years, 25 years
(c) 1 years, 50 years
(d) 6 years, 49 years

A

Question. The roots of the equation (b – c) x 2 + (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

D

Question. The equation (x – 2) 2 + 1 = 2x – 3 is a
(a) linear equation
(c) cubic equation

B

Question. If the roots of px 2 + qx + 2 = 0 are reciprocal of each other, then
(a) P = 0
(b) p = -2
(c) p = ±2
(d) p = 2

D

Question. 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

A

Question. Reduction of a rupee in the price of onion makes the possibility of buying one more kg of onionfor Rs.56. Find the original price of the onion per kg?
(a) 7
(b) 1
(c) 7, -8
(d) 8

D

Question. The sum of the roots of the quadratic equation 3x 2 – 9x + 5 = 0 is
(a) 3
(b) 6
(c) -3
(d) 2

C

Question. Two candidates attempt to solve a quadratic equation of the form x 2 + px + q = 0. One starts witha wrong value of p and finds the roots to be 2 and 6. The other starts with a wrong value of q andfinds 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

B

Question. If -5 is a root of the quadratic equation 2x 2 + px – 15 = 0, then
(a) p = 3
(b) p = 5
(c) p = 7
(d) p = 1

C

Question. The cubic equation has degree
(a) 1
(b) 2
(c) 3
(d) 4

C

Question. The equation 2x 2 + kx + 3 = 0 has two equal roots, then the value of k is
(a) ±√6
(b) ± 4
(c) ±3√2
(d) ±2√6

D

Question. 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

B

Question. The value(s) of x satisfying the equation a2x2 – 3abx + 2b2 = 0 is :
(a) 2b/a , b/ a
(b) – 2b/a , –b/ a
(c) 2b/a , –b/ a
(d) none of these

A

Question. The value of √12 +√ 12 +√ 12+ ….. is :
(a) –2
(b) –4
(c) 2
(d) 4

D

Question. The discriminant of the quadratic equation 3×2 −8x + 3 = 0 is :
(a) –100
(b) 53
(c) 28
(d) none of these

C

Question. The value of m for which the roots of the equation (3m + 1) x2 + (m + 11) x + 9 = 0 are equal, is :
(a) m = –1, m = 85
(b) m = – 1, m = – 85
(c) m = 1, m = 85
(d) none of these

C

Question. The value(s) of k for which the equation 9x2 + 3kx + 4 = 0 has real roots is :
(a) k ≤ – 4 or k ≥ 4
(b) k ≤ 4 or k ≥ –4
(c) k ≤ –2 or k ≥ 2
(d) k ≤ 2 or k ≥ –2

A

Question. If one root of 2x2 + kx – 6 = 0 is 6, the value of k is :
(a) –11
(b) 11
(c) 2
(d) 3

A

Question. The value of k for which the equation :
(4 − k)x2 + (2k + 4)x + (8k +1) = 0 is a perfect square, is :
(a) k = 0, 3
(b) k = 0, –3
(c) k = 3, –3
(d) none of these

A

Question. The value(s) of k for which the equation (k + 1) x2 – 2 (k – 1) x + 1 = 0 has real and equal roots is:
(a) k = 0, –3
(b) k = 0, 3
(c) k = 0, 4
(d) none of these

B

Question. The roots of quadratic equation √3x2 +10x + 7√ 3 = 0 are :
(a) √3 and 7/ 3√
(b) √3 and 7 /√3
(c) √3 and  −7/√ 3
(d) none of these

C

Question. If the equation x2 − kx +1 = 0 does not possess real roots, then :
(a) –3 < k < 3
(b) –2 < k < 2
(c) k > 2
(d) k < – 2