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P runs on x² + y² = 36 and A is (6, 0). The midpoint of PA moves on
Ax² + y² = 9
Bx² + y² - 6x = 0
Cx² + y² + 6x = 0
Dx² + y² - 12x = 0
Answer & Solution
Correct answer: B. x² + y² - 6x = 0
Writing P = (2x - 6, 2y) in x² + y² = 36 gives x² + y² - 6x = 0, a circle of radius 3 centred at (3, 0).
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