When the coordinate axes are rotated about the origin in the positive direction through an angle \frac{\pi}{4}, if the equation 49 x^{2}+25 y^{2}=1225 is transformed to p x^{2}+q x y+r y^{2}=t and the G.C.D of p, q, r, t is 1 , then

Correct Answer is : (p+q+r−15)2=t

TS EAMCET 18-July-2022 Shift 1 Solved Paper

Section: Mathematics

Question : 42 of 160

Marks: +1, -0

When the coordinate axes are rotated about the origin in the positive direction through an angle ‌

, if the equation 49x2+25y2=1225 is transformed to px2+qxy+ry2=t and the G.C.D of p,q,r,t is 1 , then

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