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If the line `x+y=3` touches a hyperbola at (2,1) and intersects its asymptotes at A and B such that `AB=8sqrt2`, if hyperbola is centred at origin, then combined equation of asymptotes is
A. |
`4x^2+12xy-5y^2=0` |
B. |
`4x^2-12xy+5y^2=0` |
C. |
`5x^2-12xy+5y^2=0` |
D. |
`5x^2+12xy+4y^2=0` |
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