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Two circles with centres at A and B touc...

Two circles with centres at A and B touch each other externally at T. Let BD is the tangent at D and TC is a common tangent. If AT has length 3 units and BT has length 2 units, then the length (in units ) of CB is

A

`(4)/(3)`

B

`(5)/(2)`

C

`(5)/(3)`

D

`(7)/(4)`

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The correct Answer is:
B
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