Class 11Mathematics10-1.Circle and System of CirclesGeometrical problems regarding circle and its properties
EasyGiven $r_1, r_2 > 0$ and $C_1, C_2$ are the centres of two circles having only two common tangents. If $C_1 C_2 = r_1 + r_2$,which of the following is correct?
- A$r_1, r_2$ are the radii of the two circles
- BThe common chord divides 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
- DThe external centre of similitude divides $C_1 C_2$ in the ratio $r_1 : r_2$
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