Circle has an equation and its centre at C1 A. The centre of circle is . C2 Circles and touch externally. C1 C2 Circle with centre is drawn so that and touch internally. The centres, C3, D, C1; C2 C3 A, B and are collinear. D Determine the radius of (7) C2. Determine the equation of (8) C3.
Circle C1 has an equation and its centre at A. The centre of circle C2 is . Circles C1 and C2 touch externally. Circle C3, with centre D, is drawn so that C1; C2 and C3 touch internally. The centres, A, B and D are collinear. Determine the radius of C2. (7) Determine the equation of C3. (8)
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