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Let f(x) = ab sin x+ b sqrt( 1-a^2) cos ...

Let `f(x) = ab sin x+ b sqrt( 1-a^2) cos x+c`, where `|a| lt 1, b gt 0` then

A

maximum value of f(x) is b if 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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The correct Answer is:
A, B, C
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