there is a circle which passes through (0,0) and has center at (a,0). Another circle also passes through (0,0) with center (b,0) .given that
(2aba) . find the locus of center of another circle which is tangent to both circles and rolls as shown in the figure.

Question

there is a circle which passes through (0,0) and has center at (a,0). Another circle also passes through (0,0) with center (b,0) .given that
(2a>b>a) . find the locus of center of another circle which is tangent to both circles and rolls as shown in the figure.

shubhamsrg · Answer

|dw:1336505967430:dw|

apoorvk · Answer

|dw:1337421315782:dw|

so it's a circle centered at (a+b)/2, having radius (a+b)/2 as well.