The sum of the intercepts made by a tangent to the curve `sqrtx+sqrty= 4` at point `(4,4)` on coordinate axes is-

The sum of the intercepts made by a tangent to the curve sqrt(x)+sqrt(y)=4 at point (4,4) on coordinate axes is-

Show that the sum of the intercepts of the tangent to the curve sqrtx+sqrty=sqrta on the coordinate axes is constant.

The maximum value of the sum of the intercepts made by any tangent to the curve (a sin^(2)theta, 2a sin theta) with the axes is

The maximum value of the sum of the intercepts made by any tangent to the curve (a sin^(2)theta, 2a sin theta) with the axes is

The maximum value of the sum of the intercepts made by any tangent to the curve (a sin^(2)theta, 2a sin theta) with the axes is

The sum of the intercepts made on the axes of coordinates by any tangent to the curve sqrtx +sqrty = 2 is equal to

The sum of the intercepts made on the axes of coordinates by any tangent to the curve sqrtx +sqrty = 2 is equal to