Statement 1: ^2A= ^2B and ^2A= ^2B if and only if A=n B, n I. Statement 2: A= B and A= B if and only if A=n +B, n I.

JEE Main Mathematics question

Not in JEE Main syllabus

Statement 1: and if and only if , . Statement 2: and if and only if , .

(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 is not a correct explanation for Statement 1
(C)Statement 1 is True, Statement 2 is FalseCorrect
(D)Statement 1 is False, Statement 2 is True

Answer: (C)

Statement 1: means , i.e. , giving ; and this also forces . So Statement 1 is TRUE. Statement 2: AND fix the

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Question ID VK-008157