Maths Question 42 – AP-EAMCET 2026

The origin is shifted to the point $(h,k)$ by translation of axes to remove $x$ and $y$ terms from the equation $x^2-2xy+3y^2-4x+5y-6=0$. Thereafter the axes are rotated about the origin through an angle $\theta$ in positive direction to remove $xy$-term from the resultant equation obtained by shifting the origin. Then $h-k=$