Explore topic-wise MCQs in Mathematics.

This section includes 10 Mcqs, each offering curated multiple-choice questions to sharpen your Mathematics knowledge and support exam preparation. Choose a topic below to get started.

1.

What will be the value of k, if the roots of the equation (k 4)x2 2kx + (k + 5) = 0 are equal?

A. 18
B. 19
C. 20
D. 21
Answer» D. 21
Discussion
2.

What will be the value of a, for which the equation 5x2 + ax + 5 and x2 12x + a will have real roots?

A. a = 37
B. 10 < a < 36
C. 36 < a < 10
D. a = 9
Answer» C. 36 < a < 10
Discussion
3.

The value of p for which the equation 8x2 + 9px + 15 has equal roots is ( frac {4 sqrt {30}}{9} ).

A. True
B. False
Answer» B. False
Discussion
4.

The equation 9x2 2x + 5 is not true for any real value of x.

A. False
B. True
Answer» C.
Discussion
5.

What will be the nature of the roots of the quadratic equation 2x2 + 10x + 9?

A. Imaginary
B. Real
C. Irrational
D. Equal
Answer» C. Irrational
Discussion
6.

What will be the nature of the roots of the quadratic equation x2 + 10x + 25?

A. Imaginary
B. Real
C. Irrational
D. Equal
Answer» E.
Discussion
7.

What will be the nature of the roots of the quadratic equation 5x2 11x + 13?

A. Imaginary
B. Real
C. Irrational
D. Equal
Answer» B. Real
Discussion
8.

What will be the value of k, so that the roots of the equation are x2 + 2kx + 9 are imaginary?

A. -5 < k < 5
B. -3 < k < 3
C. 3 < k < -3
D. -5 < k < 3
Answer» C. 3 < k < -3
Discussion
9.

If the roots of the equation ax2 + bx + c are real and equal, what will be the relation between a, b, c?

A. b = ( sqrt {ac} )
B. b = ( sqrt {4c} )
C. b = ( sqrt {-4ac} )
D. b = ( sqrt {4ac} )
Answer» E.
Discussion
10.

For the equation x2 + 5x 1, which of the following statements is correct?

A. The roots of the equation are equal
B. The discriminant of the equation is negative
C. The roots of the equation are real, distinct and irrational
D. The discriminant is equal to zero
Answer» D. The discriminant is equal to zero
Discussion