Question

Value of λ for which the equation cos²2x - 2sin⁴x - cos²x = λ has a solution, lies in interval.

(1) \(\left[\frac{-9}8, 0\right]\)

(2) \(\left[0,\frac{9}8\right]\)

(3) \(\left[\frac{-9}8, \frac 94\right]\)

(4) \(\left[0,\frac{9}4\right]\)

Answer 1

Correct option is (1) \(\left[\frac{-9}8, 0\right]\)