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    Question

    If points A(–2, 3) and B(4, –3) are ends of a

    diameter, find equation of the circle.
    A (x+1)² + y² = 10 Correct Answer Incorrect Answer
    B (x+2)² + y² = 18 Correct Answer Incorrect Answer
    C (x–1)² + y² = 18 Correct Answer Incorrect Answer
    D (x–3)² + y² = 12 Correct Answer Incorrect Answer

    Solution

    ATQ,

    Center = ((–2+4)/2, (3–3)/2) = (1, 0), radius = √[(4–1)² + (–3–0)²] = √(9+9)=√18=3√2 Equation: (x–1)² + y² = 18.

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