🛠️ JEE➗ Maths

The set of all real values of \( \lambda \) for which the function \( f(x) \)\( =\left(1-\cos ^{2} x\right) \cdot(\lambd…

Q1

The set of all real values of \( \lambda \) for which the function \( f(x) \)\( =\left(1-\cos ^{2} x\right) \cdot(\lambda+\sin x), x \in\left(-\frac{\pi}{2}, \frac{\pi}{2}\right) \) has exactly one maxima and exactly one minima, is :


[JEE Main 2020, 6 Sep (Shift 2)]

a

\( \left(-\frac{3}{2}, \frac{3}{2}\right) \)

b

\( \left(-\frac{1}{2}, \frac{1}{2}\right) \)

c

\( \left(-\frac{1}{2}, \frac{1}{2}\right)-\{0\} \)

d

\( \left(-\frac{3}{2}, \frac{3}{2}\right)-\{0\} \)

🔒
Answer & explanation — PYQ Pass

Options are free to see. Unlock the correct answer and full explanation with Pass.

Unlock · ₹149

Practice more JEE Maths PYQs

See every question on Application of Derivatives, or browse the full JEE question bank.

See all questions on Application of Derivatives →