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The value of `f(0),` so that the function `f(x)=(sqrt(a^2-a x+x^2)-sqrt(a^2+a x+x^2))/(sqrt(a+x)-sqrt(a-x))` becomes continuous for all `x ,` given by `a^(3/2)` (b) `a^(1/2)` (c) `-a^(1/2)` (d) `-a^(3/2)`

A

`-a sqrt(a)`

B

`a sqrt(a)`

C

`-sqrt(a)`

D

`sqrt(a)`

Text Solution

Verified by Experts

The correct Answer is:
C
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