Engineering
Mathematics
Common Tangent To two Circle
Question
Let C be the circle with centre at (1, 1) and radius = 1. If T is the circle centred at (0, y) passing through origin and touching the circle C externally, then the radius of T is equal to
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Solution
Let required circle is
(X – 0)2 + (Y – y)2 = y2
circle touches externally
C1C2 = r1 + r2
(1 – 0)2 + (1 – y)2 = (y + 1)2