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The tangent to the curve y=x-x^(3) at a ...

The tangent to the curve `y=x-x^(3)` at a point p meets the curve again at Q. Prove that one point of trisection of PQ lies on the Y-axis. Find the locus of the other points of trisection.

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The correct Answer is:
`y=x-5x^(3)`
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