If the origin is shifted to the point $(1,1)$ and the axes are rotated through an angle $45^{\circ}$ about…

If the origin is shifted to the point $(1,1)$ and the axes are rotated through an angle $45^{\circ}$ about this point, then the transformed equation of the equation $x^2+2 x y+y^2-1=0$ is
  1. $2 y^2-4 \sqrt{2} y-3=0$
  2. $2 y^2+4 \sqrt{2} y-3=0$
  3. $2 x^2+4 \sqrt{2} x+3=0$
  4. $2 x^2-4 \sqrt{2} x+3=0$

Solution

No solution. Refer to answer key.

Asked in: AP EAMCET 2018 (24 Apr Shift 2)

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