If the origin is shifted to (2,3) and the axes are rotated through an angle 45^ about that point, then the transformed equation of 2 x^2+2 y^2-8 x-12 y+18=0 is

Step-by-step solution

Given, equation is array rlrl & & 2 x^2+2 y^2-8 x-12 y+18 & =0 & 2(x-2)^2+2(y-3)^2 & =8 & (x-2)^2+(y-3)^2 & =4 array After the shifting of origin to (2,3) , the transformed equation becomes x^2+y^2=4 and after the rotation of axes through an angle 45^ about the point, the transformed equation is x^2+y^2=4 . Hence, option (b) is correct.