Let f(x) = sin x, g(x) = x. Statement 1: f x gx ( ) £ ( ) for x in (0,¥) Statement 2: f(x) £ 1 for x in (0, ¥) but g(x) ® ¥ as x ® ¥

Question:

Let $f(x)=\sin x, \mathrm{~g}(x)=x$.

Statement 1: $f(x) \leq g(x)$ for $x$ in $(0, \infty)$

Statement 2: $f(x) \leq 1$ for $x$ in $(0, \infty)$ but $g(x) \rightarrow \infty$ as $x \rightarrow \infty$.

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

  2. Statement 1 is true, Statement 2 is true, Statement 2 is a correct explanation for Statement $1 .$

  3. Statement 1 is true, Statement 2 is true, Statement 2 is not a correct explanation for Statement 1 

  4. Statement 1 is false, Statement 2 is true.

Correct Option: 3

JEE Main Previous Year 1 Question of JEE Main from Mathematics Trigonometry chapter.
JEE Main Previous Year Online May 7, 2012

Solution:

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