Question

Assertion (A): The roots of the quadratic equation 3x² + 7x + 8 = 0 are imaginary.

Reason (R): The discriminant of a quadratic equation is always positive.

Options

• A is true, R is false

• A is false, R is true

• Both A and R are true

• Both A and R are false

Answer 1

A is true, R is false

Explanation:

For 3x² + 7x + 8 = 0, the discriminant D = 7² – 4 × 3 × 8 = 49 – 96 = –47, which is negative, so the equation has no real roots; the roots are non‑real/imaginary.

The Reason is false because the discriminant need not be positive it can be positive, zero, or negative giving two real distinct roots, one repeated real root or no real roots respectively.