STATEMENT-1: The curve y = -x^2 2 + x + 1 is symmetric with respect to the line x = 1. STATEMENT-2: A parabola is symmetric about its axis.

JEE Advanced Mathematics question

STATEMENT-1: The curve is symmetric with respect to the line . STATEMENT-2: A parabola is symmetric about its axis.

(A)Statement-1 is True, Statement-2 is True; Statement-2 is a correct explanation for Statement-1Correct
(B)Statement-1 is True, Statement-2 is True; Statement-2 is *Not* 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: (A)

This is a (downward) parabola with vertex and axis . Statement-2 is the

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Question ID VK-110644