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find the centre of the circle passing through the points (3,-2) ,(-2,0) and has its centre on the line 2x-y=3

maitreyee jagannath , 9 Years ago
Grade 12th pass
anser 1 Answers
Abhishek Singh

Last Activity: 9 Years ago

the equation of a family of circles passing through the given pts are

(x-3)(x+2)+(y+2)y+k(5y+2x+4)=0  where k is a parameter
the centre of circle is     1-2k/2 , -(5k+2)/2
Since this lies on the given line by substituting we get k=2
hence circle is x2+y2+ 3x+12y+2=0

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