JEE Main 2005Annual, Paper 1MathematicsMediumSets, Relations and Functions168× since 2002Let f:(−1,1)→Bf:( - 1,1) \to Bf:(−1,1)→B, be a function defined by f(x)=tan−12x1−x2f\left( x \right) = {\tan ^{ - 1}}{{2x} \over {1 - {x^2}}}f(x)=tan−11−x22x, then fff is both one-one and onto when B is the intervalAOption A. (0,π2)\left( {0,{\pi \over 2}} \right)(0,2π)BOption B. [0,π2)\left[ {0,{\pi \over 2}} \right)[0,2π)COption C. [−π2,π2]\left[ { - {\pi \over 2},{\pi \over 2}} \right][−2π,2π]DOption D. (−π2,π2)\left( { - {\pi \over 2},{\pi \over 2}} \right)(−2π,2π)CheckSkip · show solution
