<h2>
Answer:</h2>
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<h2>
Step-by-step explanation:</h2>
In the question,
We have to find out the circumcentre of the circle passing through the triangle with the vertices (a₁, b₁), (a₂, b₂) and (a₃, c₃).
So,
The circle is passing through these points the equation of the circle is given by,

On putting the points in the circle we get,

So,

On solving these equation using, <u>Matrix method we can get the required equation of the circle,</u>
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</u>
<em><u>This is the required answer.</u></em>