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If the three function f(x),g(x) and h(x)...

If the three function `f(x),g(x)` and `h(x)` are such that `h(x)=f(x)g(x)` and `f'(a)g'(x)=c`, where c is a constant, then :
`(f''(x))/(f(x))+(g''(x))/(g(x))+(2c)/(f(x)f(x))` is equal to :

A

`(h(x))/(h'(x))`

B

`(h''(x))/(h(x))`

C

`(h(x))/(h''(x))`

D

`h'(x).h''(x)`.

Text Solution

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The correct Answer is:
B
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  • If the three functions f(x),g(x) and h(x) are such that h(x)=f(x).g(x) and f'(x).g'(x)=c , where c is a constant then (f^('')(x))/(f(x))+(g^('')(x))/(g(x))+(2c)/(f(x)*g(x)) is equal to

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    D
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  • If f(x) and g(x) are continous functions, satisfying, f(x) = f(a-x) and g(x)+g(a-x)=2, then int_0^(a) f(x) g(x) dx is equal to

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