Question

What quadrant will the product of (2+ 3i) and (-3 -4i) be located in?

Answer 1

The product lies in `4` th quadrant at `(6,-17)`

Explanation:

`(2+3i)*(-3-4i) = -6 -8i -9i -12 i^2`

`= -6 -17i+12 [i^2=-1]= 6 -17i` i.e

`6` unit in positive x -axis and `17` unit in negative y-axis.

So the product lies in `4` th quadrant at `(6,-17)` [Ans]