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Math  /  Geometry

QuestionThe diagram shows two circles that touch at D(6,3)D(6,3).
Circle C1C_{1} has equation (x−2)2+(y−5)2=20(x-2)^{2}+(y-5)^{2}=20. Circle C2C_{2} is twice the size of C1C_{1}. Find, (a) The equation of Circle C2\mathrm{C}_{2}. 5 (b) The equation of the common tangent at D . 3

Studdy Solution
(a) The equation of circle C2C_2 is (x−6−42)2+(y−3+22)2=40(x - 6 - 4\sqrt{2})^2 + (y - 3 + 2\sqrt{2})^2 = 40. (b) The equation of the common tangent at DD is y=2x−9y = 2x - 9.

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