in which quadrant is the number -14 - 5i located on the complex plane?\no i\no ii\no iii\no iv
in which quadrant is the number -14 - 5i located on the complex plane?\no i\no ii\no iii\no iv
Answer
Explanation:
Step1: Recall complex - plane coordinates
In the complex plane, a complex number (a + bi) is represented as the point ((a,b)). For the complex number (- 14-5i), (a=-14) and (b = - 5).
Step2: Determine the quadrant
In the coordinate - plane, if (x\lt0) and (y\lt0), the point ((x,y)) lies in the third quadrant. Since (a=-14\lt0) and (b = - 5\lt0), the point ((-14,-5)) (representing (-14 - 5i)) lies in the third quadrant.
Answer:
C. III