Question

Statement-1: $f(x)={\tan }^{-1}x$ is a one-one function. because
Statement-2: If $f^{\prime }(x)>0$ for all $x$ in domain of $f(x)$ then $f(x)$ is one-one..

• A. Statement-1 is true, statement-2 is true and statement-2 is correct explanation for statement-1.
• B. Statement-1 is true, statement-2 is true and statement-2 is NOT the correct explanation for statement-1.
• C. Statement-1 is true, statement-2 is false.
• D. Statement-1 is false, statement-2 is true

Answer 1

Answer: (C)

$f(x)=\tan x,f^{\prime }(x)>0$
for all x in the domain of $f$ but tan $x$ is not one-one, it is many one