If n consecutive circle touch each other and have 2 common tangents than relation between radius of circle .

The two circles touch each other if

Two circles touch each other at point X. Two common tangents of the circles meet at point P and none of the tangents passes through X. These tangents touch the larger circle at points B and C. If the radius of the larger circle is 15 cm and CP = 20 cm, then what is the radius (in cm) of the smaller circle?

Two circles with radius 4 cm and 9 cm respectively touch each other externally. Their common tangent touches the circles at point P and Point Q respectively. Then, area of the square with side PQ is.

Two circles touch each other externally at point P.A common tangent AB is drawn touching the circles at A and B.Find /_APB .

In Fig.10.21, two circles touch each other at the point C. Prove that the common tangent to the circles at C, bisects the common tangent at P and Q.( FIGURE )

Statement 1 : The number of common tangents to the circles x^(2) +y^(2) -x =0 and x^(2) +y^(2) +x =0 is 3. Statement 2 : If two circles touch each other externally then it has two direct common tangents and one indirect common tangent.

Statement 1 : The number of common tangents to the circles x^(2) + y^(2) =4 and x^(2) + y^(2) -6x - 6y = 24 is 3. Statement 2 : If two circles touch each other externally thenit has two direct common tangents and one indirect common tangent.