The points of contact of the tangents drawn from the origin to the curve y=sinx, lie on the curve

Show that the points of contact of the tangents drawn from the origin to the curve y = sinx lie th curve x^(2)y^(2)=x^(2)-y^(2)

The points of contact of the tangents drawn from origin to the curve 3y=3+x^2 is

The point of contact of the tangents drawn from origin to the curve y=x^2+3x+4 is

P is the point of contact of the tangent from the orign to the curve y=log_(e)^(x ). the length of the perpendicular drawn from the origin to the normal at P is

Find the point of contact of the tangents drawn from origin to the curve. y=2x^(3)+13x^(2)+5x+9 .

Tangents are drawn from the origin to the curve y=cos X. Their points of contact lie on