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Tangent at a point P1 [other than (0,0)]...

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)`

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