Three distinct points A, B and C are giv...

Three distinct points `A, B and C` are given in the 2-dimensional coordinate plane such that the ratio of the distance of any one of them from the point `(1, 0)` to the distance from the point `(-1, 0)` is equal to `1:3.` Then the circumcentre of the triangle `ABC` is at the point

A

`(0,0)`

B

`((5)/(4),0)`

C

`((5)/(2), 0)`

D

`((5)/(3),0)`

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The correct Answer is:

B

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