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 a point P_1\ (ot h e r\ t h a n\ (0,0) on the curve y=x^3 meets the curve again at P_2dot The tangent at P_2 meets the curve again at P_3 and so on. Show that the abscissae of P_1,\ P_2,\ P_n form a G P . Also find the ratio (a r e a\ ( P_1P_2P_3))/(a r e a\ ( P_2P_3P_4))dot

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 cure again at P_(3) and so on. Shwo that the abseissae of P_(1),P_(2)':..... P_(n) form a G.P. also find the ratio {area (DeltaP_(1)P_(2)P_(3))//"area" (DeltaP_(2)P_(3)P_(4))

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

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

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 P is

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 =