Question

When graphing on the complex plane, which
quadrant will the complex number10 – 13i be
found in?

Answer 1

Given :

A complex number z = 10 - 13i .

To Find :

Which  quadrant will the complex number (10 - 13i) be  found.

Solution :

Coefficient of real part of complex number, r = 10.

Coefficient  of imaginary part of complex number, i = -13.

Since, the coefficient of imaginary part is -ve and real part is +ve .

Therefore, the complex number is in 4th quadrant.

Hence, this is the required solution.

Answer 2

When graphing on the complex plane, the complex number will be in the 4th quadrant.

The standard form of expressing complex numbers is expressed z = x + iy

x is the real axis (x-axis on the coordinate point)

y is the imaginary axis (y-axis on the coordinate plane)

Given the complex number z = 10 - 13i, this shows that the imaginary axis is a negative value while the real axis is a positive value.

This shows that when graphing on the complex plane, the complex number will be in the 4th quadrant.

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