Answer: The coordinates of B is (-4, -2)
We know that center is the midpoint of the diameter.
So C(-1,2) is the midpoint of A(2,6) and B(x, y).
The midpoint of A(2,6) and B(x, y) is = [tex]\left(\frac{x+2}{2},\frac{y+6}{2}\right)[/tex]
Comparing it with C we get:
[tex]\frac{x+2}{2}=-1\\x=-4\\\\\\\frac{y+6}{2}=2\\y=-2[/tex]
So B = (x, y) = (-4 , -2).
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