The coordinates of point B are (-4 , -2) ⇒ answer H
Step-by-step explanation:
In any circle
- The diameter of the circle passing through its center
- The center of the circle is the mid-point of all diameters
If (x , y) are the coordinates of the mid-point of a line whose end
points are and
, then
and
∵ Point C is the center of a circle
∵ AB is the diameter of the circle
∴ C is the mid point of AB
∵ A = (2 , 6) ⇒
∵ B =
∵ C = (-1 , 2) ⇒ (x , y)
- Use the rule of the mid-point above
∵
- Multiply both sides by 2
∴ -2 = 2 +
- Subtract 2 from both sides
∴ = -4
∴ The x-coordinate of point B is -4
∵
- Multiply both sides by 2
∴ 4 = 6 +
- Subtract 6 from both sides
∴ = -2
∴ The y-coordinate of point B is -2
The coordinates of point B are (-4 , -2)
Learn more:
You can learn more about the circle in brainly.com/question/9510228
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