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The equation of a rectangular hyperbola whose asymptotes are `x=3` and `y=5` and passing through (7,8) is `x y-3y+5x+3=0` `x y+3y+4x+3=0` `x y-3y+5x-3=0` `x y-3y+5x+3=0`
A. `xy-3y+5x+3=0`
B. `xy+3y+4x+3=0`
C. `xy-3y+5x-3=0`
D. `xy-3y-5x+3=0`

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Correct Answer - D
The equation of the rectangular hyperbola is
`(x-3)(y-5)+lambda=0`
It passes through (7, 8). Hence,
`4xx3+lambda or lambda=-12`
`therefore" "Xy-5x-3y+15-12=0`
`"or "xy-3y-5x+3=0`

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