1.

Statement 1: The function f(x) = |x-a_(1)| + |x - a_(2)|+ ...+|x-a_(2n-1)| where a_(1),a_(2),...a_(2n-1) are distinct numbers has no local minima.. because Statement 2: There does not exists an interval in domain f for which f'(x)= 0throughout in that interval.

Answer»

(A) Statement -1 is True, Statement-2 is True, Statement-2 is a CORRECT EXPLANATION for Statement - 1.
(B) Statement -1 is True, Statement-2 is True, Statement-2 isNOT a correct explanation for Statement - 1.
(C) Statement -1 is True, Statement-2 is False.
(D) Statement -1 is False, Statement-2 is True.

Answer :D


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