The equation sinx + ax + b = 0 has-

Maths Quadratic Equations Solution of Quadratic Inequations and Miscellaneous Equations Single Correct MCQ

Published by: CGP EDU Academic Team

Published on: August 13, 2026

Only one real root which is positive if a > 1, b < 0

Only one real root which is positive if a > 1, b > 0

Only one real root which is positive if a < –1, b < 0

Only one real root which is positive if a < –1, b > 0

Text Solution

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The correct answer is:

CHECK THE SOLUTION.

(a, d)

sinx + ax = –b

Let f(x) = sinx + ax ⇒ f(0) = 0

f '(x) = cos x + a

if a > 1 so f(x) and –b > 0

if a > 1 so f(x) and –b < 0

if a < –1 so f(x) ↓ and –b > 0

if a < –1 so f(x) ↓ and –b < 0

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