Q82 / 160 · TS EAMCET 2025 (04 May Shift 2) · Mathematics

When the coordinate axes are rotated about the origin through an angle $\frac{\pi}{4}$ in the positive direction, the equation $a x^2+2 h x y+b y^2=c$ is transformed to $25 x^2+9 y^2=225$, then $(a+2 h+b-\sqrt{c})^2=$

A
3
Correct answer
B
1225
C
9
D
225

Hence, the correct answer is option: 'B'.

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