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The length of the transverse axis of the...

The length of the transverse axis of the rectangular hyperbola `x y=18` is (a) 6 (b) 12 (c) 18 (d) 9

A

`6`

B

`12`

C

`18`

D

`9`

Text Solution

Verified by Experts

We know that the lengths of transverse and conjugate axes of the rectangular hyperbola `xy=(a^(2))/(2)` are each equal to `2a`.
Here, `(a^(2))/(2)=18impliesa^(2)=36impliesa=6`
Hence, length of the transverse axis `=12`
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