the point on the curve (x)^(1/2)+(y)^1/2)=2*(a)^(2) where the tangents are equally inclined to the axes,isplz ansr this question briefly o that i can understand it easily.

eq of curve is x^1/2  +  y^1/2 =a^2

  let (x, y,) be the point on the curve at which we have to draw  the tangent

 since (x, y,) lies on the curve so it will satisfy the eq of curve

   so x,^1/2 + y,^1/2 =a^2  ..................eq1 

   slope of tangent =dy/dx= -(y,/x,)^1/2 at (x, y,)

   tangent is equally inclined to axes therefore slope =1 or -1....eq3

   solving eq 1 ,2 and 3 

  required point comes out to be (a^4/4 , a^4/4)