Statement 1: If |z_1+z_2|^2=|z_1|^2+|z_2|^2, then z_1 z_2 is purely imaginary Statement 2: If z is purely imaginary, then z+ z=0

JEE Main Mathematics question

Statement 1: If , then is purely imaginary Statement 2: If is purely imaginary, then

(A)Assertion is True, Reason is True; Reason is correct explanation for Assertion
(B)Assertion is True, Reason is True; Reason is not correct explanation for AssertionCorrect
(C)Assertion is True, Reason is False
(D)Assertion is False, Reason is True

Answer: (B)

Statement 2 is true: gives . Statement 1: , so the condition gives and satisfies ; hence is purely imaginary (for

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Question ID VK-013590