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Consider f, g and h be three real valued...

Consider f, g and h be three real valued function defined on R.
Let `f(x)= sin 3x + cos x , g(x)= cos 3x + sin x ` and ` h(x) = f^(2)(x) + g^(2)(x) `
Q. General solution of the equation ` h(x) = 4 ` , is :
[where ` n in I ` ]

A

`(pi)/(8)`

B

`(pi)/(4)`

C

`(pi)/(6)`

D

`(pi)/(2)`

Text Solution

Verified by Experts

The correct Answer is:
B
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Knowledge Check

  • Consider f, g and h be three real valued function defined on R. Let f(x)=sin3x+cosx,g(x)=cos3x+sinx and h(x)=f^(2)(x)+g^(2)(x). Then, The general solution of the equation h(x)=4, is

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  • Consider f, g and h be three real valued function defined on R. Let f(x)=sin3x+cosx,g(x)=cos3x+sinx and h(x)=f^(2)(x)+g^(2)(x). Then, The length of a longest interval in which the function g=h(x) is increasing, is

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