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In DeltaABC,angleA=90^(@) and the co-ord...

In `DeltaABC,angleA=90^(@)` and the co-ordinates of points B and C are `(2,-4) and (1,5)`. Find the equation of the circumcircle of `Delta ABC`.

Text Solution

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We know that the angle in a semi-circle is right angle.
Therefore, `B (2,-4) and C(1,5)` will be the co-ordinates of the end points of a diameter.
`(x-x_(1))(x-x_(2))+(y-y_(1))-(y-y_(2))=0`
`rArr(x-2)(x-1)+(y+4)(y-5)=0`
`rArrx^(2)-3x+2+y^(2)-y -20=0`
`rArr x^(2)+y^(2)-3x -y -18 =0`.
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