Challenging Questions

Mathematics – Compulsory Part

Learning Unit: Equations of circles

Question M0-13-04

Given \(C_1: x^2 + y^2 – 10x + 8y – 59 = 0\) and \(C_2: x^2 + y^2 – 16x + 16y – 97 = 0\).

1. Show that \(C_1\) touches \(C_2\).
2. Find the coordinates of the point of contact \(P\).
3. Find the common tangent at \(P\) and express it in general form.

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