JEE Main & Advanced
Sample Paper
JEE Main - Mock Test - 33
question_answer
Let f be a positive function. Let \[{{I}_{1}}=\int\limits_{1\,-\,k}^{k}{x\,f\left[ x(1-x) \right]dx}\] \[{{I}_{2}}=\,\int\limits_{1\,-\,k}^{k}{\,f\left[ x(1-x) \right]dx}\], where \[2k\,-1 > 0\]. Then \[\frac{{{I}_{1}}}{{{I}_{2}}}\] is