JEE Advance - Mathematics (1995 - No. 14)
The function $$f\left( x \right) = {{in\,\left( {\pi + x} \right)} \over {in\,\left( {e + x} \right)}}$$ is
increasing on $$\left( {0,\infty } \right)$$
decreasing on $$\left( {0,\infty } \right)$$
increasing on $$\left( {0,\pi /e} \right),$$ decreasing on $$\left( {\pi /e,\infty } \right)$$
decreasing on $$\left( {0,\pi /e} \right),$$ increasing on $$\left( {\pi /e,\infty } \right)$$