Answer:
Option A
Explanation:
On comparing the given equation with
$ax^{2}+2hxy+by^{2}+2gx+2fy+c=0$ we get
a=4,h=4, b=10,g=-4, f=-22 and c=14
For removal of first degree terms , shift the origin to
$\left(\frac{bg-fh}{h^{2}-ab},\frac{af-gh}{h^{2}-ab}\right)=\left(\frac{-40+88}{16-40},\frac{-88+16}{16-40}\right)$
$=\left(\frac{48}{-24},\frac{-72}{-24}\right)=(-2,3)$