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JEE Advance - Mathematics (1991 - No. 22)

What is the ratio for the sides of the rectangle so that the window transmits the maximum light ?
$$\frac{6}{6 + \pi}$$
$$\frac{3}{6 + \pi}$$
$$\frac{6 + \pi}{3}$$
$$\frac{6 + \pi}{6}$$
$$\frac{\pi}{6}$$

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