Question

In which quadrant is the number 6 – 8i located on the complex plane?

Answer 1

Answer: 4th quadrant
Explanation: The real axis is the x-axis and the imaginary axis is the y-axis. So the point 6−8i is 6 units on the positive real axis and 8 units on the negative imaginary axis.This is located in the 4th quadrant of the complex Arg-and plane.

Answer 2

A complex number Z = A + Bi can be represented in the same way like we represent a point (a,b) in the coordinate plane.

Like in two dimensional coordinate system where there is X axis and Y Axis In complex plane , for locating real part of complex number we use X axis and for locating imaginary part we use Y axis.

So Complex number Z= 6 - 8 i = Point in the complex plane (6,-8)

6 = Real Part = Positive real number

-8 = Imaginary Part = Negative real number

Point (6,-8) will lie in Fourth Quadrant.