Question

find the Centre of a circle passing through the points (6,-6), (3,-7), and (3,3).

Answer 1

if these points form centre.......then it forms a triangle inscribed in that circle....

let the points be A,B,and C.


here A (x1,y1)=(6,-6)
B (x2,y2)=(3,-7)
C(x3,y3)=(3,3)

the given points forms an isoceles triangle.
since....we know that centre of a circle is cenroid of the triangle in which it is inscribed in the cirle.

centroid of a triangle =(x1+x2+x3/3,y1+y2+y3/3)

here cenroid of given triangle =6+3+3/3,-6+(-7)+3/3)

=(12/3,-10/3)

=(4,-3.3)


therefore ..(4,-3.3) is the centre of that circle

Answer 2

hope the answer is correct