The curve in which the slope of the tangent at any point equal the ratio of the abscissa to the ordinate of the point is

The curve for which the slope of the tangent at any point equals the ratio of the abscissa to the ordinate of the point is :

The curve for which the slope of the tangent at any point is equal to the ration of the abcissa to the ordinate of the point is

The curve for which the slope of the tangent at any point is equal to the ration of the abcissa to the cordinates of the point is

A curve passing through the point (1,2) and satisfying the condition that slope of the normal at any point is equal to the ratio of ordinate and abscissa of that point , then the curve also passes through the point

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

Find the equation of the curve in which the perpendicular from the origin on any tangent is equal to the abscissa of the point of contact.

Find the equation of the curve in which the perpendicular from the origin on any tangent is equal to the abscissa of the point of contact.

Find the equation of the curve passing through (1, 1) and the slope of the tangent to curve at a point (x, y) is equal to the twice the sum of the abscissa and the ordinate.

There is curve in which the length of the perpendicular from the orgin to tangent at any point is equal to abscissa of that point. Then,