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Eq of circle passing through non collinear A,B,C is
Asked by ramasuryakumarivasamsetti | 26 Oct, 2023, 09:19: PM
Expert Answer
Equation of circle :-
. .. . . . . . . . . . . . . . (1)
If the circle given in eqn.(1) is passing through A ( x1 , y1) , then we get
............................(2)
Similarly, If the circle given in eqn.(1) is passing through B ( x2 , y2) and C ( x3, y3) , then we get
.............................. (3)
...............................(4)
We get the following three linear equations from eqn.(2) , eqn.(3) and eqn.(4)
We can solve the above linear equations to get the unknowns g, f, and c in terms of given coordintaes of A, B and C .
By substituting g, f and c in eqn.(1) , we get the required equation of circle that is passing through the points A, B and C
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