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

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

Find the equation of the tangent to the curve sqrtx + sqrty = a at the point ((a^2)/4, (a^2)/4) a > 0

Find the intercepts made by the plane 2x-3y+5z+4=0 on the co-ordinate axes.

The Curve possessing the property that the intercept made by the tangent at any point of the curve on they-axis is equal to square of the abscissa of the point of tangency, is given by

Find the equation of a curve passing through the origin given that the slope of the tangent to the curve at any point (x, y) is equal to the sum of the coordinates of the point.

Find the equation of a curve passing through the origin if the slope of the tangent to the curve at any point (x,y) is equal to the square of the difference of the abscissa and the ordinate of the point.

Find the coordinates of the point on the curve sqrtx + sqrty = 4 at which tangent is equally inclined to the axes.

Find the intercepts on the axes made by the straight lines : 2x-3y+6=0 .

A curve is such that the area of the region bounded by the co-ordinate axes, the curve & the coordinate of any point on it is equal to the cube of that ordinate. The curve represents

A variable line makes intercepts on the coordinate axes the sum of whose squares is constant and is equal to a^2 . Find the locus of the foot of the perpendicular from the origin to this line.