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-

Options

A. `(1,-3)`
B. `(2,3)`
C. `(-2,3)`
D. `(1,3)`

Answer

C

Explanation

Here , `a=2,b=5,c=7,h=2,g=-2,f=-11`
To eliminate 1st degree terms where origin is to be shiffted to the point.
`((hf-bg)/(ab-h^2),(gh-af)/(ab-h^2))=((-22+10)/(10-4),(-4+22)/(10-4))=((-12)/(6),(18)/(6))=(-2,3)` .