Question

If f : R $\rightarrow$ R be a continuous function satisfying $\int^{\frac{\pi}{2}}_0f(sin2x)sinxdx+\alpha\int^{\frac{\pi}{4}}_0f(cos2x)cosxdx=0$, then the value of $\alpha$ is

• A. -√3
• B. √3
• C. -√2
• D. √2

Answer 1

Answer: (C)

-√2

Answer 2

The Correct Option is(C):-√2