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The axes are rotated through any angle. The circle x^2 + y^2 = 9 becomes

Ax'^2 + y'^2 = 9
Bx'^2 - y'^2 = 9
Cx'^2 + y' = 9
Dx'^2 + y'^2 = 3
Answer & Solution
Correct answer: A. x'^2 + y'^2 = 9
A rotation about the origin keeps distances from the origin, so the circle keeps the same form.
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