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If tangents at (1,2) to the circle `C_(1):x^(2)+y^(2) = 5` intersects the circle `C_(2): x^(2)+y^(2) = 9` at A and B and tangents at A and B to the second circle meet at point C, then the co-ordinates of C are given by

A

`(4, -5)`

B

`((3)/(5),(6)/(5))`

C

`(4, 5)`

D

`((9)/(5), (18)/(5))`

Text Solution

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The correct Answer is:
D
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