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Q.

Length of the transvers axis of the rectangular hyperbola $x y = 36$ is

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a

$24$

b

$12$

c

$6 \sqrt{2}$

d

$12 \sqrt{2}$

answer is C.

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Detailed Solution

The transverse axis of $x y = 36$ is $y = x$ which meets the hyperbola at $(6, 6)$ and $(- 6, - 6)$

So the length of the transverse axis is $12 \sqrt{2}$ .

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