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Prove that the two circles x + y-3x+2y-30 and x + y+2x + y + 1 = 0 are orthogonal. (4 Marks)

Prove that the two circles x² + y²-3x+2y-30 and x² + y²+2x + y + 1 = 0 are orthogonal.
(4 Marks)

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