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If the point of intersection of the pair of the transverse common tangents and that of the pair of direct common tangents drawn to the circles `x^(2) + y^(2) -14 x + 6 y + 33 = 0` and ` x^(2) + y^(2) + 30 x - 2y + 1 =0` are T and D respectively, then the centre of the circle having TD as diameter is

A

`(39/2,(-7)/4)`

B

`(39/4 , (7)/2)`

C

`(39/4 , (-7)/2)`

D

`(39/2 , (-7)/2)`

Text Solution

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The correct Answer is:
C
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