The equation of the curve, passing through (2, 5) and having the area of triangle formed by the X-axis, the ordinate of a point on the curve and the tangent at the point 5 sq.units as

The area of the triangle formed by the co-ordinate axes and a tangent to the curve xy=a^(2) at the point (x_(1), y_(1)) on it is :

The area of the triangle formed by the tangent to the curve xy=a^(2) at any point on the curve with the coordinate axis is

Find the equation of the curve passing through the point(0,2) given that the sum of the co-ordinates of any point on the curve exceeds the magnitude of slope of tangent to the curve that point by 5.

Obtain the equation of the curve passing through the point (4,3) and at any point the gradient of the tangent to the curve is the reciprocal of the ordinate of the point.

Obtain the equation of the curve passing through the point(4,3) and at any point the gradient of the tangent to the curve is the reciprocal of the ordinate of the point.

Show that the area of the triangle formed by the tangent and the normal at the point (a,a) on the curve y^2 (2a-x)=x^3 and the line x=2a is (5a^2)/4 sq. units.

Find the equation of the curve passing through the origin.given that the slope of tangent to the curve at any point point is y+2x.

Area of the triangle formed by the tangent,normal at (1,1) on the curve sqrt(x)+sqrt(y)=2 and the y -axis is (in sq.units)

Find the curve for which area of triangle formed by x-axis, tangent drawn at any point on the curve and radius vector of point of tangency is constant, equal to a^2

Find the curve for which area of triangle formed by x-axis, tangent drawn at any point on the curve and radius vector of point of tangency is constant, equal to a^2