The origin is shifted to the point (2,3) by translation of axes and then the coordinate axes are rotated about the origin through an angle \theta in the counter-clockwise sense. Due to this if the equation 3 x^2+2 x y+3 y^2-18 x-22 y+50=0 is transformed to 4 x^2+2 y^2-1=0, then the angle \theta= [AP EAPCET 23 May 2024 S1]

Straight Lines and Pair of Straight Lines

Section: Mathematics

Question : 35 of 81

Marks: +1, -0

The origin is shifted to the point (2,3) by translation of axes and then the coordinate axes are rotated about the origin through an angle θ in the counter-clockwise sense. Due to this if the equation 3x2+2xy+3y2−18x−22y+50=0 is transformed to 4x2+2y2−1=0, then the angle θ=

[AP EAPCET 23 May 2024 S1]

‌
π
4
‌
π
3
‌
π
6
‌
π
2

Validate

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