JEE Main 2007Annual, Paper 1MathematicsMediumSets, Relations and Functions168× since 2002The largest interval lying in (−π2,π2)\left( { - {\pi \over 2},{\pi \over 2}} \right)(−2π,2π) for which the function f(x)=4−x2+cos−1(x2−1)f\left( x \right) = {4^{ - {x^2}}} + {\cos ^{ - 1}}\left( {{x \over 2} - 1} \right)f(x)=4−x2+cos−1(2x−1)+log(cosx)+ \log \left( {\cos x} \right)+log(cosx), is defined, isAOption A. [−π4,π2)\left[ { - {\pi \over 4},{\pi \over 2}} \right)[−4π,2π)BOption B. [0,π2)\left[ {0,{\pi \over 2}} \right)[0,2π)COption C. [0,π]\left[ {0,\pi } \right][0,π]DOption D. (−π2,π2)\left( { - {\pi \over 2},{\pi \over 2}} \right)(−2π,2π)CheckSkip · show solution
