Acircle has center at –6 + 2i and a point on the circle at 4 + 26i. which of the following points is also on the circle?
–19 + 15i
–16 – 22i
6 + 16i
20 – 24i

 Option B (-16-22i)                                                

Step-by-step explanation:

Given : A circle has a center -6+2i and a point is 4+26i

To find : which point is also on the circle

Solution : First we find the radius(r) of the circle with center(x,y)=(-6,2)

and a point (h,k)=(4,26)

Equation of the circle =

where,

Now we check one by one that which point satisfy the equation

New equation :

A) point –19 + 15i  = (-9,15)

B) –16 – 22i  =(-16,-22)

C) 6 + 16i  =(6,16)

D) 20 – 24i=(20,-24)

Therefore, Option B only satisfy the required equation

Hence, Option B (-16-22i) is the answer.

the graph in the attached figure

step-by-step explanation:

we have

using a graphing tool

the graph in the attached figure

the roots are ( x-intercepts) x=-0.5,x=1,x=3

the y-intercept is the point (0,3)