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]

Question

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]

Accepted Answer

Correct Answer is : ‌π4

Answer

Answer

Answer

Answer

Straight Lines and Pair of Straight Lines

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