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Equation of Tangent at a Point (x,y) in Terms of f'(x)

A curve C has...

Question

A curve C has the property that if the tangent drawn at any point 'P' on C meets the coordinate axes at A and B, and P is midpoint of AB. If the curve passes through the point $(1, 1)$ then the equation of the curve is?

x y = 2

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x y = 3

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x y = 1

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x y = 4

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Solution

The correct option is D $x y = 1$
By option verification passing through $(1, 1)$
$x y = 1$

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