Question

Geometry!!!!!!!!! helppp

Answer 1

Solution given:

Centre (h,k)=(-6,-2)

end points are:

A
`\bold{(x_(1),y_(1))=(-1,-9) \:and \:B(x_(2),y_(2))=(-11,5)}`

Now

distance between A to M is:

AM=
`\sqrt{(h-x_(1))²+(k-y_(1))²}`

AM=
`√((-6+1)²+(-2+9)²)=8.6`units

again

distance between B to M is:

BM=
`\sqrt{(h-x_(2))²+(k-y_(2))²}`

BM=
`√((-6+11)²+(-2-5)²)=8.6`units

again

Since AM=BM=8.6units

so

M is the centre of the circle.:Yes