If the tangent at a point `P` with parameter `t`, on the curve `x=4t^2+3`, `y=8t^3-1` `t in R` meets the curve again at a point Q, then the coordinates of Q are

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

The normal to the rectangular hyperbola xy = 4 at the point t_1 meets the curve again at the point t_2 Then

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

If the tangent to the curve 4x^(3)=27y^(2) at the point (3,2) meets the curve again at the point (a,b) . Then |a|+|b| is equal to -

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

A line bisecting the ordinate PN of a point P(at^2,2at),t gt 0 , on the parabola y^2=4ax is drawn parallel to the axis to meet the curve at Q. If NQ meets the tangent at the vertex at the point T, then the coordinates of T are: (a) (0,(4/3)at) (b) (0,2at) (c) ((1/4)at^2,at) (d) (0,at)

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

Find the equation of normal to the curves x=t^2, y=2t+1 at point

A curve is represented by the equations x=sec^2ta n dy=cott , where t is a parameter. If the tangent at the point P on the curve where t=pi/4 meets the curve again at the point Q , then |P Q| is equal to (5sqrt(3))/2 (b) (5sqrt(5))/2 (c) (2sqrt(5))/3 (d) (3sqrt(5))/2