Show that the tangent to the curve `3x y^2-2x^2y=1a t(1,1)` meets the curve again at the point `(-(16)/5,-1/(20))dot`

Show that the tangent to the curve 3xy^(2)-2x^(2)y=1 at (1,1) meets the curve again at the point (-(16)/(5),-(1)/(20))

The normal to the curve 5x^(5)-10x^(3)+x+2y+6 =0 at P(0, -3) meets the curve again at the point

The tangent to the curve y = e^(2x) at the point (0,1) meets x - axis at :

Show that the normal to the curve 5x^(5)-10x^(3)+x+2y+6=0 at P(0,-3) meets the curve again at two points.Find the equations of the tangents to the curve at these points.

If the tangent at the point (p,q) to the curve x^(3)+y^(2)=k meets the curve again at the point (a,b), then

Tangent at P(2,8) on the curve y=x^(3) meets the curve again at Q.Find coordinates of Q.