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Tangent at a point P1\ (ot h e r\ t h a ...

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`

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The correct Answer is:
`1:16`
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