How to find radius of circle when 2 common tangents are given?
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of tangents by section formula. Use (T)^2=(S)*(S1) to get the equation of pair of tangents and then solve it to get two equations separately. This method can be used for both Transverse Common Tangent and Direct Common Tangent. But it is lengthy and hence I don't prefer this method
Method 2 : Assume the point of intersection of common tangents to be P(h, k). And then form equation of tangent as (y-k) =m(x-h). And then find out m. For this use the fact that distance of this line from the center circles is r1 and r2 respectively. You will obtain a quadratic in m. Solve it to get the value of m.
Note: To obtain point of intersection of DCT or TCT,use section formula. For
Method 2 : Assume the point of intersection of common tangents to be P(h, k). And then form equation of tangent as (y-k) =m(x-h). And then find out m. For this use the fact that distance of this line from the center circles is r1 and r2 respectively. You will obtain a quadratic in m. Solve it to get the value of m.
Note: To obtain point of intersection of DCT or TCT,use section formula. For
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