The curve with the property that the projection of the ordinate on the normal is constant and has a length equal to `a` is

Find the curve for which the perpendicular from the foot of the ordinate to the tangent is of constant length.

Prove that the sum of the focal distance of any point on the ellipse is constant and is equal to the length of the major axis.

The projection of a line segment on the axes are 9, 12 and 8. Then the length of the line segment is

A curve C has the property that if the tangent drawn at any point P on C meets the co-ordinate axis at A and B , then P is the mid-point of A Bdot The curve passes through the point (1,1). Determine the equation of the curve.

Find the equation of the curve in which the subnormal varies as the square of the ordinate.

A vector makes equal angle with the positive direction of the co - ordinate axes then each angle is equal to ……………….

A curve y=f(x) passes through point P(1,1) . The normal to the curve at P is a (y-1)+(x-1)=0 . If the slope of the tangent at any point on the curve is proportional to the ordinate of the point, then the equation of the curve is

The equation of the curve which is such that the portion of the axis of x cut off between the origin and tangent at any point is proportional to the ordinate of that point is

Find the curve for which the length of normal is equal to the radius vector.

The equation of the normal to the curve y=x^3 , at (1,1) is