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Answer:
The equation the circle is given by
Step-by-step explanation:
The general form of the circle is
Given points are (5,0) , (0,4) and (2,4)
Let the points (5,0) , (0,4) and (2,4) be (x_1,y_1) , (x_2,y_2) and (x_3,y_3) respectively
The equation of the circle passes through given points (5,0) , (0,4) and (2,4)
Substituting the point (5,0) in (1)
Substituting the point (0,4) in
Substituting the point (2,4) in
By solving the equations (2) ,(3) and(4) we get the values of D,E and F as below
,
and
substituting the values of D,E and F in (1) we get
Now multiplying the above equation into 4 we get