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Parametric Representation: Hyperbola

Equation of t...

Question

Equation of the rectangle hyperbola is

x y = 2 x + y - 2

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2 x y = x + 2 y + 5

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x y = x + y + 1

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none of these

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Solution

The correct option is D $x y = x + y + 1$
Rectangular hyperbola
$(x + h) (y + h) = c$

$x y + h x + h y + h^{2} - c = 0$

coefficient of $x, y$ are same

$x y = x + y + 1$ is a rectangle hyperbola.

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