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Let a curve y=f(x) pass through (1,1), a...

Let a curve `y=f(x)` pass through (1,1), at any point p on the curve tangent and normal are drawn to intersect the X-axis at Q and R respectively. If QR = 2 , find the equation of all such possible curves.

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The correct Answer is:
`logy-x=pm(log-|(1sqrt(1-y^(2)))/(y)|+sqrt(1-y^(2)))`
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