The tangent to the curve `y=x^(3)` at the point `P(t, t^(3))` cuts the curve again at point Q. Then, the coordinates of Q are

If the tangent to the curve y=x^(3) at the point P(t,t^(3)) meets the curve again at Q , then the ordinate of the point which divides PQ internally in the ratio 1:2 is

Normal equation to the curve y^(2)=x^3 at the point (t^(2),t^(3)) on the curve is

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

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

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 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

The tangent to the curve y=x-x^(3) at a point P meets the curve again at Q. Prove that one point of trisection of PQ lies on the Y-axis. Find the locus of the other points of trisection.

Tangent to the curve y=x^(2)+6 at a point P(1, 7) touches the circle x^(2)+y^(2)+16x+12y+c=0 at a point Q. Then the coordinates of Q are