SPS SPS FM 2025 October — Question 7

Exam BoardSPS
ModuleSPS FM (SPS FM)
Year2025
SessionOctober
TopicCircles

7. The circle \(x ^ { 2 } + y ^ { 2 } + 2 x - 14 y + 25 = 0\) has its centre at the point C . The line \(7 y = x + 25\) intersects the circle at points A and B . Prove that triangle ABC is a right-angled triangle.
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