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`

A curve has the property that area of triangle formed by the x-axis, the tangent to the curve and radius vector of the point of tangency is k^(2) . The equation of all such curves passing through (0, 1) is ln (ay) = (xy^(b))/(2k^(2)) then

A curve has the property that area of triangle formed by the x-axis, the tangent to the curve and radius vector of the point of tangency is k^(2) . The equation of all such curves passing through (0, 1) is ln (ay) = (xy^(b))/(2k^(2)) then

Show that the area of the triangle formed by the tangent at any point on the curve xy=c, (c ne 0), with the coordinate axes is constant.

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

Show that a triangle made by a tangent at any point on the curve xy =c^(2) and the coordinates axes is of constant area.

Find the curve for which the intercept cut off by any tangent on y-axis is proportional to the square of the ordinate of the point of tangency.

Find the curve for which the intercept cut off by any tangent on y-axis is proportional to the square of the ordinate of the point of tangency.

Find the curve for which the intercept cut off by any tangent on y-axis is proportional to the square of the ordinate of the point of tangency.

Find the curve for which the intercept cut off by any tangent on y-axis is proportional to the square of the ordinate of the point of tangency.