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The equation of the transvers and conjug...

The equation of the transvers and conjugate axes of a hyperbola are, respectively, `x+2y-3=0` and `2x-y+4=0` , and their respective lengths are `sqrt(2)` and `2/sqrt(3)dot` The equation of the hyperbola is
a) `2/5(x+2y-3)^2-3/5(2x-y+4)^2=1`
b) `2/5(x-y-4)^2-3/5(x+2y-3)^2=1`
c)`2/5(2x-y+4)^2-3/5(x+2y-3)^2=1`
d)`2(x+2y-3)^2-3(2x-y+4)^2=1`

A

`2(x+2y-3)^(2)-3(2x-y+4)^(2)=5`

B

`2(2x-y+4)^(2)-3(x+2y-3)^(2)=5`

C

`2(x+2y-3)^(2)-3(2x-y+4)^(2)=1`

D

`2(2x-y+4)^(2)-3(x+2y-3)^(2)=1`

Text Solution

Verified by Experts

The correct Answer is:
B
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