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Question

The eccentricity of the hyperbola whose asymptotes are 3x+4y=10 and 4x3y=5 is

A
3
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B
2
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C
5
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D
6
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Solution

The correct option is B 2
If θ is angle between asymptotes, then
θ=tan1ba
tanθ2=ba
tanπ4=ba
( given lines are perpendicular )
a=b
e=2 which is a rectangular hyperbola.

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