Question

VIIIe in the standard (x,y) coordmate pralit nas

Answer 1

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 $(x_{1},y_{1})$ and $(x_{2},y_{2})$ , then

$x=\frac{x_{1}+x_{2}}{2}$ and $y=\frac{y_{1}+y_{2}}{2}$

∵ 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) ⇒ $(x_{1},y_{1})$

∵ B = $(x_{2},y_{2})$

∵ C = (-1 , 2) ⇒ (x , y)

- Use the rule of the mid-point above

∵ $-1=\frac{2+x_{2}}{2}$

- Multiply both sides by 2

∴ -2 = 2 + $x_{2}$

- Subtract 2 from both sides

∴ $x_{2}$ = -4

∴ The x-coordinate of point B is -4

∵ $2=\frac{6+y_{2}}{2}$

- Multiply both sides by 2

∴ 4 = 6 + $y_{2}$

- Subtract 6 from both sides

∴ $y_{2}$ = -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

#LearnwithBrainly