Equations of a Circle Distance and Midpoint

What is the midpoint between (8, -3) and (2, 5)

• (5, 1)

• (10, 2)

• (-5, -1)

• (3, 4)

Points A(1,3) & B(-3,5) are the endpoints of a chord on a circle with centre not at the origin. What is the equation of the perpendicular bisector of chord AB?

• y = 2x + 4

• y = 2x + 6

• y = -2x + 6

• y = 2x - 6

Find the midpoint of the line segment with the given endpoints (-2,-6) and (8,8)

• (-4,8)

• (18,22)

• (3,1)

• (-5,-7)

Find the midpoint of the segment on the graph. (Hover over picture to expand)

• (1,0)

• (7,-9)

• (4,-3)

• (-1,2)

The equation of a circle is derived from

• gradient-intercept forumla

• point-slop form

• distance formula

• quadratic equation

Which of the following is the correct midpoint formula given two endpoints (x₁, y₁) and (x₂, y₂)?

• 
• 
• 
• 

Write the equation of a circle with its diameter whose endpoints are (2,7) and (4,-3). Hint: first find the center of the circle using midpoint formula.

• (x-3)²+(y-2)²=26

• (x+3)²+(y+2)²=26

• (x+1)²+(y-5)²=13

• (x+1)²+(y-5)²=89

What is the equation of the circle shown in the graph?

Mathematical Equivalence

ON

• 97

• 194

• 36

• 85

Find the distance between (-12, 1) and (12, -1).

• 24.05

• 24.06

• 24.07

• 24.08