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Circle question

2009 · Shift 2 · Q33

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PYQ Library
JEE Advanced
Mathematics
Circle
2009 · Shift 2 · Q33

Circle question

2009 · Shift 2 · Q33

JEE AdvancedMathematicsCircleNumerical+3 / −1

The centres of two circles

{C_1}

and

{C_2}

each of unit radius are at a distance of 6 units from each other. Let P be the mid point of the line segement joining the centres of

{C_1}

and

{C_2}

and C a circle touching circles

{C_1}

and

{C_2}

externally. If a common tangent to

{C_1}

and passing through P is also a common tangent to

{C_2}

and C, then the radius of the circle C is

Numerical answer

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