The points A(3, 2), B(6, 0) and C(1, q) lie on the circumference of a circle such

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The points A(−3, −2), B(−6, 0) and C(1, q) lie on the circumference of a circle such that ∠ BAC = 90°.

a. Find the value of q.

b. Find the equation of the circle.

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