Challenging Questions

Mathematics – Compulsory Part

Learning Unit: Equations of circles

Question M0-13-06

Given \(C_1: x^2 + y^2 + 4x – 6y + 9 = 0\) and \(C_2: x^2 + y^2 – 2x + 6y – 51 = 0\).

1. Find the equation of the common chord of \(C_1\) and \(C_2\).
2. Find the length of this common chord.
3. Find the distances from the centres of \(C_1\) and \(C_2\) to this common chord.

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