Question
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
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GPT-4o mini
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**.
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**.
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