Find the curve for which the area of the triangle formed by the x-axis tangent drawn at any point on the curve and radius vector of the 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

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

The area of the triangle formed by the tangent drawn at the point (-12,5) on the circle x^(2)+y^(2)=169 with the coordinate axes is

If the least area of triangle formed by tangent,normal at any point P on the curve y = f(x) and X-axis is 4 sq. unit. Then the ordinate of the point P (P lies in first quadrant) is

If the area of the triangle included between the axes and any tangent to the curve x^n y=a^n is constant, then find the value of ndot

If the area of the triangle included between the axes and any tangent to the curve x^n y=a^n is constant, then find the value of ndot

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 equation of the curve which is such that the area of the rectangle constructed on the abscissa of any point and the intercept of the tangent at this point on the y-axis is equal to 4.

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

The curve for which the ratio of the length of the segment intercepted by any tangent on the Y-axis to the length of the radius vector is constant (k), is