Asegment in the complex plane has a midpoint at 7 – 2i. if the segment has an endpoint at 11 – 3i, what is the other endpoint?
a.–10 –2i
b.3 – i
c.9 – 2.5i
d. 18 – 4i

Option B is correct that is 3-i

Step-by-step explanation:

We have been given one end point at 11 -3i

And the mid point is 7 -2i

Suppose we have a line segment AB and C be its midpoint

So, let A(11,-3i) and C(7,-2i)

We have to find B

We can find B by Mid-point  formula which is:

Here,

And we have to calculate

On substituting the values in the formula we get:

On comparing the variables we get;

The general form of complex number is: a+bi

here, a=3 and b=-1

hence, 3-i

Hence, Option B is correct that is 3-i