Q.
The length of the transverse axis of the rectangular hyperbola xy =18 is
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a
6
b
12
c
18
d
9
answer is B.
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Detailed Solution
Transverse axis is along the line y= x.Solving y = x and xy =18, we have x2 =18 or x=±32Then the two vertices of the hyperbola are (±32,±32)The distance between them is 72+72=12
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