Answer:
Correct choice (6,7)
Step-by-step explanation:
The center of the circle is the midpoint of the diameter. Let the unknown enpoint of the diameter be point with coordinates (x,y). If the center of a circle is (4, 6), and an known endpoint of a diameter is (2, 5), then
[tex]\dfrac{x+2}{2}=4\Rightarrow x+2=8,\ x=8-2=6,\\ \\\dfrac{y+5}{2}=6\Rightarrow y+5=12,\ y=12-5=7.[/tex]
You get the point (6,7).
