Challenging Questions

Mathematics – Compulsory Part

Learning Unit: Equations of circles

Question M0-13-10

The coordinates of \(A\) and \(B\) are \((1, 1)\) and \((7, 1)\) respectively.

1. Find the coordinates of \(C\) in the first quadrant such that \(\Delta ABC\) is an equilateral triangle.
2. Hence, find the equation of the inscribed circle of this equilateral triangle in general form.

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