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Question

The sub-tangent at any point of the curve xm yn=am+1 varies as


A

(Abscissa)2

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B

(Abscissa)3

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C

Abscissa

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D

Ordinate

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Solution

The correct option is B

Abscissa


We have, xm yn=am+1m log x+n log y=(m+1)log amx+nydydx=0dxdy=nxmySubtangent==ydxdy=nxm ax.
Hence (c) is the correct answer.


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