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UP TGT Mathematics Geometry Test Series - Part 2

The condition that the cross product term xy is absent in the transformed equation after rotation is:

Type: MCQ • Marks: 1
The condition that the cross product term xy is absent in the transformed equation after rotation is:
Options
A. 2h cos(2θ) + (a - b) sin(2θ) = 0
B. h = 0
C. a = b
D. tan θ = h
Explanation
Equating coefficient of XY to zero after rotation yields tan(2θ) = 2h/(a-b).
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