If the tangent to the curve `y=1-x^(2)` at `x=alpha`, where `0ltalphalt1` meets the axes at P and Q. if `alpha` varies and the minimum value of the area of the Delta `OPQ` is k times the area bounded by the axes and the part of the curve for `0ltxlt1`, then find `sqrt(3)k`.

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

Find the area bounded by the curve |x|+y=1 and axis of x.

Find the area bounded by the curves x+2|y|=1 and x=0 .

Find the area bounded by the curves x+2|y|=1 and x=0 .

The area bounded by the coordinate axes and the curve sqrt(x) + sqrt(y) = 1 , is

Find the area bounded by curve y = x^(2) - 1 and y = 1 .

Find the area bounded by the curve |y|+1/2 le e^(-|x|) .

Find the area bounded between the curves y^(2)-1=2x and x =0

The area bounded by the curves y=|x|-1 and y= -|x|+1 is

Find the area bounded by the y-axis and the curve x = e^(y) sin piy between y = 0, y = 1.