40 Most incredible quadratic equation class 10 mcq

quadratic equation class 10 mcq :This is the Top Mind-Blowing mcqs to grow your knowledge. Learn More quadratic equation class 10 mcq with this in-depth post.

Questions For quadratic equation class 10 mcq

1. Which of the following is a quadratic equation in x?

(A) x + 12 = 0
(B) 7x = 2x²
(C) x² + = 1/x² = 2
(D) 6-x(x²+2) = 0

2. x = √2 is a solution of the equation:

(A) x² + √2x -4 = 0
(B) x²-√2x-4=0
(C) 3x² + 5x + 2 = 0
(D) A and B

3. For what value of k, x=2 is a solution of kx² + 2x-3=0?

(A) k = -1/2
(B) k = 1/2
(C) k = -1/4
(D) k = 1/4

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4. Which of the following equations has the sum of its roots as 3?

(A) 2x²-3x+6=0
(B) -x² + 3x-3=0
(C) √2x² - 3/√2x+1=0
(D) 3x²-3x+3 = 0

5. The roots of 4x³ +4√3x + 3 = 0 are:

(A) Real and equal
(B) Real and unequal
(C) Not real
(D) None of these

6. Discriminant of x² + px + 2q = 0 is:

(A) p-8q
(B) p² +8q
(C) p² - 8q
(D) q² – 8q

7. If the equation x + 4x + k = 0 has real and distinct roots, then :

(A) k <4
(B) k >4
(C) k > 4
(D) k <4

8. The quadratic equation 3x3 + bx + C + Da + 0 has two distinct rea = 0,a real roots, if D is equal to:

(A) b² - 4ac > 0
(B) b² - 4ac = 0
(C) b² - 4ac < 0
(D) None of these

9. If the equation 9x² + 6kx + 4 = 0 has equal roots, then the roots are:

(A) ±2/3
(B) ±3/2
(C) 0
(D) ±3

10. If the equation (a²+ b²)x² -2(ac+bd)x+ c² + d² = 0 has equal roots, then:

(A) ad = cd
(B) ad=bc
(C) ad=√bc
(D) b = ac

11. If x= 1 is a common root of the equations ax² + ax + 3 = 0 and x² + x + b = 0, then ab is equal to :

(A) 3
(B) 3.5
(C) 6
(D) -3

12. The quadratic equation 4x² + 4√3x + 3 = 0 has :

(A) Two distinct real roots
(B) Two equal real roots
(C) No real roots
(D) More than 2 real roots

13. kx² - 5x + 3 = 0 and 2x² - 13 - 140 have equal discriminations, then the value of k is:

(A) 1
(B) 2
(C) - 2
(D) None Of these

14. The sum and product of the roots of 2x² - 5x+4 are in the ratio :

(A) 5:2
(B) 5:4
(C) 10:4
(D) None of these

15. If p²x²+(p²+q²)x+q²= 0 has equal roots, then p²–q² is equal to :

(A) a) –2q²
(B) b) 2q²
(C) c) 0
(D) d) - 1

16. If x=-7 and x = -5 are roots of x² + mx + n = 0, then the values of m and n are:

(A) 12 and 36
(B) 12 and 35
(C) - 12 and-35
(D) None of these

17. For the quadratic equation x² - 2x + 1 = 0 the value of x + -is : X

(A) -1
(B) 1
(C) 2
(D) - 2

18. Which of the following is a root of the equation 2x² - 5X-3=0?

(A) x=3
(B) x=4
(C) x=1
(D) x=-3

19. The value of k for which the equation 2x² - (k-1)x+8 =0 will have real and equal roots are:

(A) 9 and -7
(B) Only 9
(C) Only-7
(D) -9 and-7

20. The roots of the quadratic equations x² + 7x +12=0 are:

(A) -4,-3
(B) 4,-3
(C) 4,3
(D) -4,3

21. Find the discriminant of the quadratic equation 3√3 x² + 10x + V3 = 0

(A) √3
(B) 7
(C) 64
(D) 32

22. If 1 + V2 is a root of a quadratic equation with rational coefficients, then its other root is

(A) √2
(B) √2-1
(C) 1/√2
(D) 1 - √2

23. If the roots of ax² + bx + c = 0 be equal, then value of c is :

(A) b/2a
(B) b/-2a
(C) b²/-4a
(D) b²/4a

24. If one root of the quadratic equation 2x² + kx-6=0 is 2, find the value of k

(A) k = -1
(B) k = 1
(C) k = 2
(D) k = 3

25. The roots of the equation x²-3x + 4 = 0

(A) Real and equal
(B) Real and not equal
(C) Not real
(D) None of these

26. The factors of equation 25m + 30m +9

(A) (5m-3) (5m+2)
(B) (5m+3) (5m-3)
(C) (5m-3) (5m+3)
(D) (5m+3) (5m+3)

27. Divide 51 in two parts whose product is 378 will be:

(A) 34, 17
(B) 24, 27
(C) 42, 9
(D) 32, 19

28. If 3x² + 7x-3=0, then product of roots is :

(A) -1
(B) 3/7
(C) 1
(D) 7/3

29. If one root of the equation 3x² - 10x + 3 = 0 is 1/3, the other root is :

(A) 1/-3
(B) -3
(C) 3
(D) 1/3

30. If one root of 5x² + 13x + k = 0 be the reciprocal of the other root then the value of k is :

(A) 0
(B) 5
(C) 2
(D) 1

31. The two numbers are such that their product is equal to their sum and the numbers are equal. They are:

(A) 11, 11
(B) 2,4
(C) 2,2
(D) 1.1, 11

32. The quadratic equation whose roots are √7 and -√7 is :

(A) x²-7=0
(B) x² +7=0
(C) 7x²-1=0
(D) 2x²-7=0

33. The sum of roots of V3 x² + 6x - 5 = 0 is:

(A) 6/√3
(B) √3/6
(C) 2√3
(D) -2√3

34. The product of the roots of equation px² + qx + r =0 will be:

(A) p/q
(B) -p/q
(C) r/p
(D) -r/p

35. The number of real roots of equation 2x² - 7x+ 5 = 0 is :

(A) 0
(B) 1
(C) 2
(D) None of these

36. The roots of the quadratic equation x² - 6x-40 = 0 are:

(A) 10,-4
(B) 6,40
(C) 10, 40
(D) -6, -4

37. If the roots of px² + qx + 3 = 0 are reciprocal to each other then :

(A) q = 3
(B) p=3
(C) p-q=0
(D) p+q=0

38. What is the value of λ for which x² + 4x +λ is a perfect square.

(A) λ = 2
(B) λ = 4
(C) λ = 3
(D) None of these

39. The sum of two numbers is 15. If the sum of their reciprocals is 3/10, find the numbers.

(A) 10,5
(B) 8,7
(C) 5,6
(D) 9, 12

40. A two digit number is such that the product of its digits is 18. When 63 is subtracted from the number, the digits interchange their places, then the number is

(A) 29
(B) 36
(C) 92
(D) 63

Final Words :

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