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1. |
Let \[f\] be a positive function. Let \[{{I}_{1}}=\int_{1-k}^{k}{x\,f\left\{ x(1-x) \right\}}\,dx\],\[{{I}_{2}}=\int_{1-k}^{k}{\,f\left\{ x(1-x) \right\}}\,dx\] when \[2k-1>0.\] Then \[{{I}_{1}}/{{I}_{2}}\] is [IIT 1997 Cancelled] |
A. | 2 |
B. | \[k\] |
C. | \[1/2\] |
D. | 1 |
Answer» D. 1 | |