Tangent at a point `P_(1)` [other than (0,0)] on the curve `y=x^(3)` meets the curve again at `P_(2).` The tangent at `P_(2)` meets the curve again at `P_(3)` and so on.
The ratio of area of `DeltaP_(1)P_(2)P_(3)` to that of `DeltaP_(2)P_(3)P_(4)` is

Tangent at a point P_1 [other than (0,0)] on the curve y=x^3 meets the curve again at P_2. The tangent at P_2 meets the curve at P_3 & so on. Show that the abscissae of P_1, P_2, P_3, ......... P_n, form a GP. Also find the ratio area of A(P_1 P_2 P_3.) area of Delta (P_2 P_3 P_4)

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

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 at P(ct,(c )/(t)) to the hyperbola xy=c^2 meets it again at P_1 . The normal at P_1 meets the curve at P_2 =

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

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

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

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