TS EAMCET · Maths · Circle
\(r_1, r_2>0\) and if \(C_1, C_2\) are centres of the two circles having only two common tangents and \(C_1 C_2=r_1+r_2\), then which of the following is correct
- A \(r_1, r_2\) are the radii of the two circles
- B The common chord may divide the line joining the centres in the ratio \(r_1: r_2\)
- C \(r_1, r_2\) are always the distance of the centres from the common tangent of the two circles
- D external centre of similitude divides \(C_1 C_2\) in the ratio \(r_1: r_2\)
Answer & Solution
Correct Answer
(B) The common chord may divide the line joining the centres in the ratio \(r_1: r_2\)
Step-by-step Solution
Detailed explanation
When two circles, having centre have only two common tangents and \(c_1 c_2=r_1+r_2\), then the common chord divide the line joining the centres in the ratio \(r_1: r_2\).
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