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If the tangent to the curve y = 1 – x^(2...

If the tangent to the curve `y = 1 – x^(2) at x = alpha`, where` 0 lt alpha lt 1,` meets the axes at P and Q. Also `alpha` varies, the minimum value of the area of the triangle OPQ is k times area bounded by the axes and the part of the curve for which `0 lt x lt 1`, then k is equal to

A

`2/sqrt(3)`

B

`75/16`

C

`25/18`

D

`2/3`

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A
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