If {:(f(x),=(cos x - sin x)/(cos 2x),","...

If `{:(f(x),=(cos x - sin x)/(cos 2x),",", x != (pi)/4),(,=k, ",", x = (pi)/4):}` is continous at `x = (pi)/4`, then the value of k is

A

(a) `sqrt(2)`

B

(b) `1/(sqrt2)`

C

(c) `2sqrt(2)`

D

(d) `1/(2sqrt(2))`

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The correct Answer is:

B

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