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The centre of the circle S=0 lies on the...

The centre of the circle S=0 lies on the line 2x-2y+9=0 and it cuts the circle `x^2+y^2=4` orthogonally . Show that S=0 passes through two fixed points and find their coordinates.

A

(1, 1), (3, 3)

B

`(-1//2,1//2), (-4, 4)`

C

(0, 0), (5, 5)

D

none

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The correct Answer is:
B
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