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Given that y=(10)/(sinx+sqrt(3)cosx).Min...

Given that `y=(10)/(sinx+sqrt(3)cosx)`.Minimum value of y is

A

1

B

2

C

5

D

`(10)/(sqrt3)`

Text Solution

Verified by Experts

The correct Answer is:
C
`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`
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