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Find the co-ordinates of the point on the curve √x + √y = 4 at which tangent is equally inclined to the axes.

ACCORDING TO EQUATION OF CURVE,

   

Presently, let (x1, y1) be he required point on the bend

SO ,

   

separating both the sides w.r.t. x1, we get

squaring both the sides, we get

   

PUT THE VALUE OF Y,

   

   

   

   

NOW ,

point is