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For PA = 3PB with A(-1, 0), B(0, 2), the locus circle has centre
A(1/8, -9/4)
B(9/4, 1/8)
C(1/8, 9/4)
D(-1/8, 9/4)
Answer & Solution
Correct answer: C. (1/8, 9/4)
The locus 8(x^2+y^2) - 2x - 36y + 35 = 0 completes the square to centre (1/8, 9/4).
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