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Determine all the curves for which the r...

Determine all the curves for which the ratio of the length of the segment intercepted be any tangent on the Y-axis to the length of the radius vector is constant.

A

`(y+sqrt(x^(2)-y^(2)))x^(k-1)=c`

B

`(y+sqrt(x^(2)+y^(2)))x^(k-1)=c`

C

`(y-sqrt(x^(2)-y^(2)))x^(k-1)=c`

D

`(y-sqrt(x^(2)+y^(2)))x^(k-1)=c`

Text Solution

Verified by Experts

The correct Answer is:
B
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