DIRECTION : In the following questions, a statement of assertion (A) is followed by a statement of reason (R). Mark the correct choice as: Assertion : The values of x are a for a quadratic equation 2x 2 +ax- a 2 =0 . Reason : For quadratic equation ax 2 + bx+ c = 0

Both assertion (A) and reason (R) are true and reason (R) is the correct explanation of assertion (A).

Both assertion (A) and reason (R) are true but reason (R) is not the correct explanation of assertion (A).

Assertion (A) is true but reason (R) is false.

Assertion (A) is false but reason (R) is true.

DIRECTION : In the following questions, a statement of assertion (A) is followed by a statement of reason (R). Mark the correct choice as: Assertion : The value of k = 2 , if one root of the quadratic equation 6x 2 -x- k = 0 is ⅔ Reason : The quadratic equation ax 2 + bx + c = 0, a ≠ 0 a has two roots.

Both assertion (A) and reason (R) are true and reason (R) is the correct explanation of assertion (A).

Both assertion (A) and reason (R) are true but reason (R) is not the correct explanation of assertion (A).

Assertion (A) is true but reason (R) is false.

Assertion (A) is false but reason (R) is true.

DIRECTION : In the following questions, a statement of assertion (A) is followed by a statement of reason (R). Mark the correct choice as: Assertion : If roots of the equation x 2 - bx + c = 0 are two consecutive integers, then b 2 - 4c =1 Reason : If a, b, c are odd integer then the roots of the equation 4abc x 2 + (b 2 - 4ac)x - b = 0 are real and distinct.

Both assertion (A) and reason (R) are true and reason (R) is the correct explanation of assertion (A).

Both assertion (A) and reason (R) are true but reason (R) is not the correct explanation of assertion (A).

Assertion (A) is true but reason (R) is false.

Assertion (A) is false but reason (R) is true.

DIRECTION : In the following questions, a statement of assertion (A) is followed by a statement of reason (R). Mark the correct choice as: Assertion : A quadratic equation ax 2 + bx + c = 0 , has two distinct real roots, if b2 - 4ac >0 . Reason : A quadratic equation can never be solved by using method of completing the squares.

Both assertion (A) and reason (R) are true and reason (R) is the correct explanation of assertion (A).

Both assertion (A) and reason (R) are true but reason (R) is not the correct explanation of assertion (A).

Assertion (A) is true but reason (R) is false.

Assertion (A) is false but reason (R) is true.

DIRECTION : In the following questions, a statement of assertion (A) is followed by a statement of reason (R). Mark the correct choice as: Assertion : 4x 2 -12x+9 =0 has repeated roots. Reason : The quadratic equation ax 2 + bx + c = 0 have repeated roots if discriminant D > 0 .

Both assertion (A) and reason (R) are true and reason (R) is the correct explanation of assertion (A).

Both assertion (A) and reason (R) are true but reason (R) is not the correct explanation of assertion (A).

Assertion (A) is true but reason (R) is false.

Assertion (A) is false but reason (R) is true.

DIRECTION : In the following questions, a statement of assertion (A) is followed by a statement of reason (R). Mark the correct choice as: Assertion : (2x - l) 2 - 4x 2 + 5 = 0 is not a quadratic equation. Reason : x = 0, 3 are the roots of the equation 2x 2 -60x = 0.

Both assertion (A) and reason (R) are true and reason (R) is the correct explanation of assertion (A).

Both assertion (A) and reason (R) are true but reason (R) is not the correct explanation of assertion (A).

Assertion (A) is true but reason (R) is false.

Assertion (A) is false but reason (R) is true.

DIRECTION : In the following questions, a statement of assertion (A) is followed by a statement of reason (R). Mark the correct choice as: Assertion : The equation 8x 2 + 23kx+0 = has equal roots then the value of k is Reason : The equation ax 2 + bx+ c = 0 has equal roots if D =b 2 - 4ac =0

Both assertion (A) and reason (R) are true and reason (R) is the correct explanation of assertion (A).

Both assertion (A) and reason (R) are true but reason (R) is not the correct explanation of assertion (A).

Assertion (A) is true but reason (R) is false.

Assertion (A) is false but reason (R) is true.

DIRECTION : In the following questions, a statement of assertion (A) is followed by a statement of reason (R). Mark the correct choice as: Assertion : The roots of the quadratic equation x 2 + 2x+2 = 0 are imaginary. Reason : If discriminant D =b 2 - 4ac 2 + bx+ c = 0 are imaginary.

Both assertion (A) and reason (R) are true and reason (R) is the correct explanation of assertion (A).

Both assertion (A) and reason (R) are true but reason (R) is not the correct explanation of assertion (A).

Assertion (A) is true but reason (R) is false.

Assertion (A) is false but reason (R) is true.

DIRECTION : In the following questions, a statement of assertion (A) is followed by a statement of reason (R). Mark the correct choice as: Assertion : The equation 9x 2 + 34kx + 4 = 0 has equal roots for k = + 4 . Reason : If discriminant ‘D’ of a quadratic equation is equal to zero then the roots of equation are real and equal.

Both assertion (A) and reason (R) are true and reason (R) is the correct explanation of assertion (A).

Both assertion (A) and reason (R) are true but reason (R) is not the correct explanation of assertion (A).

Assertion (A) is true but reason (R) is false.

Assertion (A) is false but reason (R) is true.

DIRECTION : In the following questions, a statement of assertion (A) is followed by a statement of reason (R). Mark the correct choice as: Assertion : Sum and product of roots of 2x2 -35x+0 = are and respectively. Reason : If a and b are the roots of ax 2 + bx + c = 0 , a ≠ 0 , then sum of roots = α +β = and product of roots

Both assertion (A) and reason (R) are true and reason (R) is the correct explanation of assertion (A).

Both assertion (A) and reason (R) are true but reason (R) is not the correct explanation of assertion (A).

Assertion (A) is true but reason (R) is false.

Assertion (A) is false but reason (R) is true.

Assertion and Reason Test: Quadratic Equations - 2 Free MCQ Practice Test with Solutions

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