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A hyperbola passes through (2,3) and has...

A hyperbola passes through (2,3) and has asymptotes `3x-4y+5=0` and `12 x+5y-40=0` . Then, the equation of its transverse axis is:

A

`77x-21y-265=0`

B

`21x-77y+265=0`

C

`21x-77y-265=0`

D

`21x+77y-265=0`

Text Solution

Verified by Experts

The correct Answer is:
B
Transverse axis is the equation of the angle bisector containing point (2, 3) which is given by
`(3x-4y+5)/(5)=(12x+5y-40)/(13)`
`"or "21x+77y=265`
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