Question

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

Answer 1

4th quadrant

Explanation:

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.

Answer 2

4th quadrant

Explanation:

The real part, +6, is positive, and so this number must be in either the 1st or the 4th quadrant. The imaginary part, -8i, is neg., so the number must be in either the 3rd or the 4th quadrant. Summing up, 6 - 8i must be in the 4th quadrant.