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If a rectangular hyperbola (x-1)(y-2)=4 ...

If a rectangular hyperbola `(x-1)(y-2)=4` cuts a circle `x^(2)+y^(2)+2gx+2fy+c=0` at points `(3, 4), (5, 3), (2, 6)` and `(-1, 0)`, then the value of `(g+f)` is equal to

A

a) `-3`

B

b) `-9`

C

c) `8`

D

d) `9`

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A
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