1.

Let h(x) = f_(1)(x) + f_(2) (x) + f_(3)(x)+...+f(n)(x), where f_(1)(x), f_(2)(x),f_(3)(x),....,f_(n)(x) are real valued functions of x. Statement I f(x) = |cos|x|| + cos^(-1)("sgn x")+|"In x"| is not differentiable at 3 points in (0, 2pi) Statement II Exactly one function, is f_(i) (x), i = 1, 2,...,n is not differentiable and the rest of the function is differentiable at x = a makes h(x) not differentiable at x = a.

Answer»

Statement I is CORRECT, Statement II is ALSO correct, Statement II is the correct explanation of Statement I
Statement I is correct, Statement II is also correct, Statement II is not the correct explanation of Statement I
Statement I is correct, Statement II is INCORRECT
Statement I is incorrect, Statement II is correct.

ANSWER :A


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