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UP TGT Mathematics Geometry Test Series - Part 1

When axes are rotated through an angle θ about the origin, the transformation relations for (x, y) to (X, Y) are:

Type: MCQ • Marks: 1
When axes are rotated through an angle θ about the origin, the transformation relations for (x, y) to (X, Y) are:
Options
A. x = X cos θ + Y sin θ, y = -X sin θ + Y cos θ
B. x = X + Y, y = X - Y
C. x = X cos θ - Y sin θ, y = X sin θ + Y cos θ
D. x = X sin θ, y = Y cos θ
Explanation
Standard rotation formulas: x = X cos θ - Y sin θ, y = X sin θ + Y cos θ.
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