• # question_answer Directions: Questions No. 86 are Assertion - Reason type questions. Each of these questions contains two statements: Statement-1 (Assertion) and Statement-2 (Reason). Each of these questions also have four alternative choices, only one of which is the correct answer. You have to select the correct choice. Let $f(x)={{(x+1)}^{2}}1,\text{ }x\ge 1$ Statement - 1: The set$\{x:f(x)={{f}^{-1}}(x)\}$ $=\{0,\text{ }1\}$. Statement - 2: f is a bijection.     AIEEE  Solved  Paper-2009 A) Statement-1 is true, Statement-2 is true, Statement-2 is a correct explanation for statement-1B) 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

${{(x+1)}^{2}}1=x$ ${{(x+1)}^{2}}=x+1$ $\Rightarrow$ $x=0,-1$ Since co-domain of function is not given. So if we assume function as onto then A is correct as not onto then none of the answer is correct.