AP EAMCET Engineering 20 Apr 2019 Shift 2 Paper

Consider the given equation.
2x2+2y2−8x−12y+18=0
It can be simplified as,
2(x−2)2+2(y−3)2=8
(x−2)2+(y−3)2=4
After shifting the origin to (2,3), the transformed equation becomes x2+y2=4 and after rotation of axes through an angle of 45∘ about the point, the transformed equation is x2+y2=4