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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))`

Text Solution

Verified by Experts

The correct Answer is:
`(1)/(16)`
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