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quadratic equations MCQs

Practise focused quadratic equations questions with marked answers for exam preparation and subject revision.

quadratic equations Mcqs

1. If a and b are the roots of the equation x2
0

A. 21

B. 1

C. 61

D. -21

2. I. a2
0

A. If a ? b

B. If a < b

C. If a ? b.

D. If a > b

3. I. a3
0

A. If a > b

B. If a < b

C. If a ? b

D. If a ? b

4. I. x2
0

A. If x = y or the relationship between x and y cannot be established.

B. If x > y

C. If x ? y

D. If x < y

E. If x ? y

5. I. 9a2
0

A. If a ? b

B. If a ? b

C. If a < b

D. If a > b

6. (i). a2
0

A. if a < b

B. if a ? b

C. if the relationship between a and b cannot be established.

D. if a > b

7. If the roots of a quadratic equation are 20 and -7, then find the equation?
0

A. x2 13x 140 = 0

B. x2 + 13x 140 = 0

C. x2 + 13x + 140 = 0

D. x2 13x + 140 = 0

8. Find the quadratic equations whose roots are the reciprocals of the roots of 2x2
0

A. 3x2 5x + 2 = 0

B. 3x2+ 5x + 2 = 0

C. 3x2 5x 2 = 0

D. 3x2+ 5x 2 = 0

9. Find the roots of quadratic equation: 3x2
0

A. -6, 3

B. -5, 2

C. 3, -2/3

D. -9, 2

10. (i). a2
0

A. If a > b

B. If a < b

C. If a ? b

D. If the relationship between a and b cannot be established

11. One root of the quadratic equation x2
0

A. 7

B. 27

C. 28

D. 29

12. I. x2
0

A. If x ? y

B. If x ? y

C. If x < y

D. If x > y

13. The roots of the equation 3x2
0

A. real and equal

B. irrational and unequal

C. rational and unequal

D. complex

14. I. x2
0

A. If x < y

B. If x = y or the relationship between x and y cannot be established.

C. If x > y

D. If x ? y

E. If x ? y

15. I. x2
0

A. If x = y or the relationship between x and y cannot be established.

B. If x < y

C. If x ? y

D. If x > y

16. Find the value of a/b + b/a, if a and b are the roots of the quadratic equation x2
0

A. 26

B. 14

C. 15

D. 24

17. If the roots of the equation 2x2
0

A. 6

B. 5

C. 4

D. 3

18. I. a2
0

A. If a > b

B. If the relationship between a and b cannot be established

C. If a ? b

D. If a < b

19. Find the roots of the quadratic equation: x2 + 2x 15 = 0?
0

A. -5, 3

B. 3, 5

C. -3, -5

D. -3, 5

20. Find the roots of the quadratic equation: 22 + 3x 9 = 0?
0

A. 3/2, -3

B. 3, -3/2

C. -3/2, -3

D. 3/2, 3

21. The sum of the squares of two consecutive positive integers exceeds their product by 91. Find the integers?
0

A. 11, 12

B. 10, 11

C. 12, 13

D. 9, 10

22. Find the roots of quadratic equation: 2x2
0

A. -2, 5/2

B. -2, -1/2

C. 4, 1

D. 4, -1

23. Find the roots of quadratic equation: x2
0

A. -7, 6

B. -6, 7

C. 14, -3

D. -8, 7

24. A man could buy a certain number of notebooks for Rs.300. If each notebook cost is Rs.5 more, he could have bought 10 notebooks less for the same amount. Find the price of each notebook?
0

A. 7.5

B. 8

C. 10

D. 15

25. The sum of the square of the three consecutive even natural numbers is 1460. Find the numbers?
0

A. 22, 24, 26

B. 24, 26, 28

C. 20, 22, 24

D. 18, 20, 22

26. (i). a2
0

A. If a < b

B. If a ? b

C. If the relationship between a and b cannot be established

D. If a ? b

27. I. x2
0

A. If x < y

B. If x ? y

C. If x ? y

D. If x > y

28. The sum and the product of the roots of the quadratic equation x(power 2) + 20x + 3 = 0 are?
0

A. -10, -3

B. -20, 3

C. -10, 3

D. 10, 3

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