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The centre of a circle passing through (0,0), (1,0) and touching the CircIe `x^2+y^2=9` is a. `(1/2,sqrt2)` b. `(1/2,3/sqrt2)` c. `(3/2,1/sqrt2)` d. `(1/2,-1/sqrt2)`.

A

(3/2, 1/2)

B

(1/2, 3/2)

C

(1/2, 1/2)

D

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

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The correct Answer is:
D
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