If f(x) is continuous at x=a, where f(x)...

If f(x) is continuous at x=a, where `f(x) = (sqrt(x)-sqrt(a) + sqrt(x-a))/sqrt(x^(2) -a^(2))`, for `x ne a`, then f(a)=

A

(a) `1/sqrt(2a)`

B

(b) `1/(2sqrt(a))`

C

(c) `1/(2a)`

D

(d) `2sqrt(a)`

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The correct Answer is:

A

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