For 0 ≤ x ≤ 2π, then 2^cosec^2x √1/2 y^2 - y + 1 ≤ √2

Question

For 0 ≤ x ≤ 2π, then \(2^{cosec^2x} \sqrt{\frac12 y^2 - y }+1\le\sqrt 2\)

a. is satisfied by exactly one value of y

b. is satisfied by exactly two value of x

c. is satisfied by x for which cos x = 0

d. is satisfied by x for which sin x = 0

Answer 1

Correct options are a. is satisfied by exactly one value of y & b. is satisfied by exactly two value of x & c. is satisfied by x for which cos x = 0