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The value of k(k >0) such that the l...

The value of `k(k >0)` such that the length of the longest interval in which the function `f(x)=sin^(-1)|sink x|+cos^(-1)(cosk x)` is constant is `pi/4` is/ are (a)8 (b) 4 (c) 12 (d) 16

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