Which of the following options would lie in Quadrant II when plotted on an Argand diagram? Option #1: 0.25+3.5i Option #2: -2.3-8i Option #3: -3.14+6.2i

Answer 1

In an Argand diagram, the x-axis represents the real part of a complex number, and the y-axis represents the imaginary part. Quadrant II is characterized by having a negative real part (x-coordinate) and a positive imaginary part (y-coordinate).

Let's analyze each option:

1. Option #1: 0.25 + 3.5i

   • Real part: 0.25 (positive)
   • Imaginary part: 3.5 (positive)
   • This lies in Quadrant I.

2. Option #2: -2.3 - 8i

   • Real part: -2.3 (negative)
   • Imaginary part: -8 (negative)
   • This lies in Quadrant III.

3. Option #3: -3.14 + 6.2i

   • Real part: -3.14 (negative)
   • Imaginary part: 6.2 (positive)
   • This lies in Quadrant II.

Therefore, the option that lies in Quadrant II is Option #3: -3.14 + 6.2i.