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Find the curve which passes through the point (2,0) such that the segment of the tangent between the point of tangency & the y-axis has a constant length equal to 2 .

A

`y= [sqrt(4-x^(2))+2 log_(e ) ((2- sqrt(4-x^(2)))/(x))]`

B

`y= -[sqrt(4-x^(2)) + 2log_(e) ((2-sqrt(4-x^(2)))/(x))]`

C

`y= [sqrt(4-x^(2))-2 log_(e) ((2- sqrt(4-x^(2)))/(x))]`

D

`y=- [sqrt(4-x^(2))-2 log_(e) ((2-sqrt(4-x^(2)))/(x))]`

Text Solution

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The correct Answer is:
A, B
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