Given that `=(10)/(sin x+ sqrt3 cos x)` the minimum positive value of uy is :-

Options

A. 1
B. 2
C. 5
D. `(10)/(sqrt3)`

Answer

C

Explanation

`y=(10)/(max of (sin x+ sqrt3 cos x))`
`y_(min)=(10)/(max of (sin x+sqrt3cos x))`
`=(1)/(sqrt(1^(2)+(sqrt3)^(2)))=10/2`
`y_(min)=5`