Let f(x)=(x+1)^2-1, x -1. Statement-1: The set x:f(x)=f^ -1 (x) = 0,-1 . Statement-2: f is a bijection.

JEE Main Mathematics question

Let , . Statement-1: The set . Statement-2: is a bijection.

(A)Statement-1 is true, Statement-2 is true; Statement-2 is not a correct explanation for Statement-1
(B)Statement-1 is true, Statement-2 is falseCorrect
(C)Statement-1 is false, Statement-2 is true
(D)Statement-1 is true, Statement-2 is true; Statement-2 is a correct explanation for Statement-1

Answer: (B)

Statement 1: since is increasing on , the graphs of and can meet only on the line . Solve : or

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Question ID VK-007759