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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.

A

one point of trisection of PQ lics on y-axis.

B

one point of trisection of PQ lies on x-axis.

C

the locus of other point of trisection is y =x-`3x^(3)`

D

the locus of other point of trisection is y=x-`5x^(3)`

Text Solution

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The correct Answer is:
A, B, D
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