Problem

Problem

The tangent to the curve y=1−x2y = 1 - x^2 at x=αx = \alpha , where 0<α<10 < \alpha < 1 , meets the axes at PP and QQ . If α\alpha varies and the minimum value of the area of the ΔOPQ\Delta OPQ is kk times the area bounded by the axis and the part of the curve for 0<x<10 < x < 1 , then kk is equal to a. 2/32/\sqrt{3} b. 75/1675/16 c. 25/1825/18 d. 2/32/3

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