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