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Question

How do you write the equation of a circle given two points ?


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Solution

Writing equation of the circle:

Suppose A(x1,y1) and B(x2,y2) be the two end points of diameter, then the equation of a circle with two points is written as:

(xx1)(xx2)+(yy1)(yy2)=0

Whose centre is x1+x22,y1+y22

Hence, by expanding these terms we can get the exact equation of a circle passing through the given two points.


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