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Mathematics (11)

Let S1 be a circle passing through A(0, 1), B(–2, 2) and S2 is a circle of radius units such that AB is common chord of S1 and S2. Find the equation of S2.

x2 + y2 + 2x – 3y - 2 ±\(\sqrt{7}\) (x + 2y – 2) = 0

x2 + y2 + 2x – 3y + 2 ±\(\sqrt{7}\) (x + 2y + 2) = 0

x2 + y2 + 2x – 3y + 2 ±\(\sqrt{7}\) (x + 2y – 2) = 0

x2 + y2 + 3x – 3y + 2 ±\(\sqrt{7}\) (x - 2y – 2) = 0

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Correct Answer: C (x2 + y2 + 2x – 3y + 2 ±\(\sqrt{7}\) (x + 2y – 2) = 0) C
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