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If a circle passes through (0,0) and (a,...

If a circle passes through (0,0) and (`a,0)` and `(0,b)`, then the coordinates of its centre are

A

`(b/(2),a/(2))`

B

`(a/(2),b/(2))`

C

(b,a)

D

(a,b)

Text Solution

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The correct Answer is:
B

Cricle through the points (0,0),a,0) and (0,b) is `x^(2)+y^(2)-ax-by=0` its centre is `(a/2,b/2).`
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