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Rectangular Hyperbola

The length of...

Question

The length of the transverse axis of the rectangular hypeerbola $x y = 18$ is unit

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Solution

For the given rectagular hyperbola
$c^{2} = 18 \Rightarrow c = 3 \sqrt{2}$
Hence length of the transverse axis of the given hyperbola
$= 2 \sqrt{2} c = 12$ unit

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