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In order to eliminate the first degree t...

In order to eliminate the first degree terms from the equation `2x^2+4xy+5y^2-4x-22y+7=0`, the point to which origin is to be shifted is- (1) `(1,-3)` (2) `(2,3)` (3) `(-2,3)` (4) `(1,3)`

Text Solution

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`a=2,b=5,h=2,g=-2,f=-11`
`((2*-11-5*-2)/(10-4),(-2*2-2*-11)/(10-4))`
`((-22+10)/6,(-4+22)/6)`
`(-2,3)`.
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