Question

HURRY!! select ALL the correct answers

Answer 1

Answer:

2nd, 3rd and 5th options are correct.

Step by step explanation:

We are asked to find which of the given operations involving complex numbers have solutions represented by point A on the graph.

We can see that point A lies on (1,-2i). Let us see which of our given expressions give us coordinates of point A.

1. $(4+i)+3(1+i)$

$4+i+3+3i$

$4+3+i+3i$

$7+4i$

We can see that our 1st option is incorrect.

2. $(4+i)-3(1+i)$

$4+i-3-3i$

$4-3-3i+i$

$1-2i$

We can see that our 2nd option is correct.

3.  $(4+i)+(-3-3i)$

$4+i-3-3i$

$4-3+i-3i$

$1-2i$

We can see that our 3rd option is correct.

4.  $(4+i)+(3-3i)$

$4+i+3-3i$

$4+3+i-3i$

$7-2i$

Upon simplifying our expression we got $7-2i$ which is not equal to coordinates of point A. Therefore, 4th option is incorrect.

5. $(4+i)-(3+3i)$

$4+i-3-3i$

$4-3+i-3i$

$1-2i$

Upon simplifying our expression we got coordinates of point A. Therefore, 5th option is correct indeed.