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If the equation \( \cos ^{4} \theta+\sin ^{4} \theta+\lambda=0 \) has real solutions for \( \theta \), then \( \lambda \…

Q1

If the equation \( \cos ^{4} \theta+\sin ^{4} \theta+\lambda=0 \) has real solutions for \( \theta \), then \( \lambda \) lies in the interval

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

a

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

b

\( \left[-\frac{3}{2},-\frac{5}{4}\right] \)

c

\( \left(-\frac{1}{2},-\frac{1}{4}\right] \)

d

\( \left(-\frac{5}{4},-1\right) \)

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