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Let f(x)=ab sin x+bsqrt(1-a^(2))cosx+c, ...

Let `f(x)=ab sin x+bsqrt(1-a^(2))cosx+c`, where `|a|lt1,bgt0` then
a. maximum value of f(x) is b, if c = 0
b. difference of maximum and minimum value of f(x) is 2b
c. `f(x)=c, if x=-cos^(-1)a`
d. `f(x)=c, if x=cos^(-1)a`

A

maximum value of `f(x)` if b is `c=0`

B

difference of maximum and minimum values of `f(x)` is `2b`

C

`f(x)= c " if " x=-cos^(-1)a`

D

`f(x)=c " if " x=cos^(-1)a`

Text Solution

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A, B, C
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