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A circle passing through the point (2,2 ...

A circle passing through the point `(2,2 ( sqrt(2) - 1))` touches the pair of lines `x^(2) - y^(2) - 4x + 4 = 0 ` . The centre of the circle is

A

`(2, 2 sqrt(2)) and (2, 6 sqrt(2) - 8)`

B

`(2, 5 sqrt(2)) and (2,7 sqrt(2))`

C

`(2, 5 sqrt(2) -1) and (2,-3)`

D

None of these

Text Solution

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The correct Answer is:
A
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