If (−4, 11) and (−6, 5) are the endpoints of a diameter of a circle, what is the equation of the circle?

A) (x + 5)^2 + (y − 8)^2 = 100
B) (x + 5)^2 + (y − 8)^2 = 10
C) (x − 5)^2 − (y + 8)^2 = 10
D) (x − 5)^2 + (y + 10)^2 = 8

A.

Step-by-step explanation:

1. The standard form of the equation of a circle is

2. To find the center we require the  midpoint   of the  2 given points

center =

=(-5,8)

3. The radius is the distance from the centre to either of  the 2 given points calculate the radius using the  distance formula

d=

let and

r=

-->

-->

b

step-by-step explanation:

b

(0,,,0)

step-by-step explanation:

the table of x and y values is shown in the attached pic(part of question)

we have to decide according that graph

given points are (0, 0) (–1, 0), (2, 0)

when we graph these points on graph they show an increasing line as shown in the attached pic