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JEE Main & Advanced JEE Main Paper (Held on 7 May 2012)

  • question_answer
    Let\[f(x)=\sin x,g(x)=x.\] Statement1:\[f(x)\le g(x)\] for x in \[(0,\infty )\] Statement2:\[f(x)\le 1\] for x in \[(0,\infty )\] but \[g(x)\to \infty \]as\[x\to \infty .\]   JEE Main Online Paper (Held On 07 May 2012)

    A) Statement 1 is true, Statement 2 is false.

    B)                        Statement 1 is true. Statement 2 is true Statement 2 is a correct explanation for Statement 1.

    C)                        Statement 1 is true. Statement 2 is true, Statement 2 is not a correct explanation for Statement!.

    D)                        Statement 1 is false. Statement 2 is true.

    Correct Answer: C

    Solution :

                    Let\[f(x)=\sin x\]and \[g(x)=x\] Statement-1: \[f(x)\le g\left( x \right)\forall x\in (0,\infty )\] i.e., \[\sin x\le x\forall \in (0,\infty )\]which is true Statement-2: \[f\left( x \right)\le 1\forall \in (0,\infty )\] i.e., \[\sin x\le 1\forall x\in (0,\infty )\]It is true and \[g(x)=x\to \infty \]as\[x\to \infty \]also true.


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