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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)Β² + yΒ² = 10 Correct Answer Incorrect Answer
      B (x+2)Β² + yΒ² = 18 Correct Answer Incorrect Answer
      C (x–1)Β² + yΒ² = 18 Correct Answer Incorrect Answer
      D (x–3)Β² + yΒ² = 12 Correct Answer Incorrect Answer

      Solution

      ATQ,

      Center = ((–2+4)/2, (3–3)/2) = (1, 0), radius = √[(4–1)Β² + (–3–0)Β²] = √(9+9)=√18=3√2 Equation: (x–1)Β² + yΒ² = 18.

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