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))

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) .

If the tangent at (1, 1) on y^2 =x (2-x)^2 meets the curve again at P then P is

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

Is there any tangent to the curve y=|2x-1| at (1/2,0) ?

If the tangent to the curve x^(3)+y^(3)=a^(3) at the point (x_(1),y_(1)) intersects the curve again at the point (x_(2),y_(2)) , then show that, (x_(2))/(x_(1))+(y_(2))/(y_(1))+1=0 .