r1, r20 and if C1, C2 are centres of the two circles having only two common tangents and C1 C2=r1+r2, then which of the following is correct

Question

r1, r2>0 and if C1, C2 are centres of the two circles having only two common tangents and C1 C2=r1+r2, then which of the following is correct (A) r1, r2 are the radii of the two circles (B) The common chord may divide the line joining the centres in the ratio r1: r2 (C) r1, r2 are always the distances of the centres from the common tangent of the two circles (D) external centre of similitude divides C1 C2 in the ratio r1: r2

Tardigrade Admin · Accepted Answer

When two circles, having centre have only two common tangents and c1 c2=r1+r2, then the common chord divide the line joining the centres in the ratio r1: r2.

Q. $r_{1}, r_{2} > 0$ 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

$r_{1}, r_{2}$ are the radii of the two circles

The common chord may divide the line joining the centres in the ratio $r_{1} : r_{2}$

$r_{1}, r_{2}$ are always the distances of the centres from the common tangent of the two circles

external centre of similitude divides $C_{1} C_{2}$ in the ratio $r_{1} : r_{2}$

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 $r_{1} : r_{2}$ .

Q. r1​,r2​>0 and if C1​,C2​ are centres of the two circles having only two common tangents and C1​C2​=r1​+r2​, then which of the following is correct

r1​,r2​ are the radii of the two circles

The common chord may divide the line joining the centres in the ratio r1​:r2​

r1​,r2​ are always the distances of the centres from the common tangent of the two circles

external centre of similitude divides C1​C2​ in the ratio r1​:r2​