To remove the first degree terms in the following equations origin should be shifted to the another point then calculate the new origins from list - II
`{:(" List - I "," List - II "),("(A) "x^(2)-y^(2)+2x+4y=0,"(1) (5,-7) "),("(B) "4x^(2) +9y^(2)-8x+36y + 4 = 0,"(2) (1,-2) "),("(C) "x^(2) + 3y^(2) + 2x + 12y + 1 = 0,"(3) (-1,2) "),("(D) "2(x-5)^(2)+3(y+7)^(2)=10,"(4) (-1,-2) "),(,"(5) (-5,7) "):}`
The correct matching is

Options

A. `{:(A,B,C,D),(4,2,2,5):}`
B. `{:(A,B,C,D),(3,2,4,1):}`
C. `{:(A,B,C,D),(5,3,3,5):}`
D. `{:(A,B,C,D),(4,3,3,1):}`

Answer

D