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

The correct option is 2.

Step-by-step explanation:

The distance between two points and is

It is given that a circle has center at –6 + 2i and a point on the circle at 4 + 26i. So, the radius of the circle is

The radius of the circle is 26 units.

Any point lie on the cirlce if the distance between that point and center of the circle is equal to the radius.

The distance between  –6 + 2i and –19 + 15i is

Option 1 is incorrect.

The distance between  –6 + 2i and –16 – 22i is

Option 2 is correct.

The distance between  –6 + 2i and 6 + 16i is

Option 3 is incorrect.

The distance between  –6 + 2i and 20 – 24i is

Option 4 is incorrect.