## MCQ Questions for Class 10 Maths: Ch 4 Quadratic Questions

1. The polynomial equation x (x + 1) + 8 = (x + 2) {x â€“ 2) is

(a) linear equation

(b) quadratic equation

(c) cubic equation

(d) bi-quadratic equation

â–º (a) linear equation

2. The quadratic equation 2x2 â€“ 3x + 5 = 0 hasâ€‹

(a) Real and distinct roots

(b) Real and equal roots

(c) Imaginary roots

(d) All of the above

â–º (c) Imaginary roots

3. The quadratic equation has degree

(a) 0

(b) 1

(c) 2

(d) 3

â–º (c) 2

4. If 7th and 13th term of an A.P. are 34 and 64 respectively, then its 18th term isÂ Â Â Â

(a) 87

(b) 88Â Â Â Â

(c) 89

(d) 90

â–º (c) 89

5. Two candidates attempt to solve a quadratic equation of the form x

^{2}+ 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 â€“ 9. Find the correct roots of the equation :
(a) 3, 4

(b) - 3, - 4

(c) 3, â€“ 4

(d) â€“ 3, 4

â–º (b) - 3, - 4

6. A bi-quadratic equation has degree

(a) 1

(b) 2

(c) 3

(d) 4

â–º (d) 4

7. The equation (x â€“ 2)

^{2}+ 1 = 2x â€“ 3 is a

(a) linear equation

(b) quadratic equation

(c) cubic equation

(d) bi-quadratic equation

â–º (b) quadratic equation

8. The quadratic equation whose one rational root is 3 + âˆš2 is

(a) x

^{2}â€“ 7x + 5 = 0
(b) x

^{2}+ 7x + 6 = 0
(c) x

^{2}â€“ 7x + 6 = 0
(d) x

â–º (d) x

^{2}â€“ 6x + 7 = 0â–º (d) x

^{2}Â â€“ 6x + 7 = 0
9. 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

â–º (d) 8Â

(a) 7

(b) 1

(c) 7, -8

(d) 8

â–º (d) 8Â

10. The equation 2x

^{2}+ kx + 3 = 0 has two equal roots, then the value of k is
(a) Â±âˆš6

(b) Â± 4

(c) Â±3âˆš2

(d) Â±2âˆš6

â–º (d) Â±2âˆš6

â–º (d) Â±2âˆš6

11. 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

â–º (b) 4, 5

â–º (b) 4, 5

12. The cubic equation has degree

(a) 1

(b) 2

(c) 3

(d) 4

â–º (c) 3

13. 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

â–º (d) 11, 13

14. The sum of the roots of the quadratic equation 3Ã—

^{2}â€“ 9x + 5 = 0 is
(a) 3

(b) 6

(c) -3

(d) 2

â–º (c) -3

â–º (c) -3

15. 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

â–º (d) 0 and 8

16. If a, p are the roots of the equation (x â€“ a) (x â€“ b) + c = 0, then the roots of the equation (x â€“ a) (x â€“ P) = c are

(a) a, b

(b) a, c

(c) b, c

(d) none of these

â–º (a) a, b

17. The value of b

^{2}- 4acÂ for equation 3x^{2}- 7x - 2 = 0 is
(a) 49

(b) 0

(c) 25

(d) 73

â–º (d) 73

18. If the roots of px

^{2}+ qx + 2 = 0 are reciprocal of each other, then
(a) P = 0

(b) p = -2

(c) p = Â±2

(d) p = 2

â–º (d) p = 2

â–º (d) p = 2

19. 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

â–º (b) 11, 13

20. The roots of the equation (b â€“ c) x

^{2}+ (c â€“ a) x + (a â€“ b) = 0 are equal, then
(a) 2a = b + c

(b) 2c = a + b

(c) b = a + c

(d) 2b = a + c

â–º (d) 2b = a + c

21. If -5 is a root of the quadratic equation 2x

(a) p = 3

(b) p = 5

(c) p = 7

(d) p = 1

â–º (c) p = 7

^{2}+ px â€“ 15 = 0, then(a) p = 3

(b) p = 5

(c) p = 7

(d) p = 1

â–º (c) p = 7

22. The equation x

(a) p

(b) p

(c) p

(d) None of these

â–º (b) p

^{2}â€“ px + q = 0 p, q Îµ R has no real roots if :(a) p

^{2}> 4q(b) p

^{2}< 4q(c) p

^{2}= 4q(d) None of these

â–º (b) p

^{2}Â < 4q
23. One year ago, a man was 8 times as old as his son. Now his age is equal to the square of his sonâ€™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

â–º (a) 7 years, 49 years

24. If (x â€“ a) is one of the factors of the polynomial ax

^{2}+ bx + c, then one of the roots of axÂ² + bx + c = 0 is
(a) 1

(b) c

(c) a

(d) none of these

â–º (c) a