UP TGT Mathematics Geometry Test Series - Part 2

To eliminate the xy term from the general equation ax² + 2hxy + by² + ... = 0, the angle of rotation θ must satisfy:

Type: MCQ • Marks: 1
To eliminate the xy term from the general equation ax² + 2hxy + by² + ... = 0, the angle of rotation θ must satisfy:
Options
A. tan(2θ) = 2h / (a - b)
B. tan θ = h / (a - b)
C. tan θ = a / b
D. cos(2θ) = a - b
Explanation
Angle of rotation to eliminate xy term is given by tan(2θ) = 2h / (a - b).
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