A line is tangent to three circles with radii a,b,c (a>b>c) as shown. Then, which of the following is true ?

Explanation

`In/_C_1RC_2`

`C_1R62+(C_2R)^2=(C_1C_2)^2`

`(b-c)^2+(C_2R)^2=(b+c)^2`

`(C_2R)^2=b^2+2bc+c^2-b^2+2bc-c^2`

`(C_2R)^2=4bc`

`C_2r=2sqrt(bc)`

`In/_C_1C_3P`

`(C_1P)^2+(C_3P)^2=(C_1C_3)^2`

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