Which of the following points would lie in Quadrant IV of the Argand diagram?(1 point) Responses −3−2i negative 3 minus 2 i 3−2i 3 minus 2 i −3+2i negative 3 plus 2 i 3+2i

Answer 1

In the Argand diagram (complex plane), the quadrants are defined as follows:

1. Quadrant I: \(x > 0\), \(y > 0\) (real part positive, imaginary part positive)
2. Quadrant II: \(x < 0\), \(y > 0\) (real part negative, imaginary part positive)
3. Quadrant III: \(x < 0\), \(y < 0\) (real part negative, imaginary part negative)
4. Quadrant IV: \(x > 0\), \(y < 0\) (real part positive, imaginary part negative)

Now, let's analyze the given points:

1. \(−3−2i\) (real part: -3, imaginary part: -2) → Quadrant III
2. \(3−2i\) (real part: 3, imaginary part: -2) → Quadrant IV
3. \(−3+2i\) (real part: -3, imaginary part: 2) → Quadrant II
4. \(3+2i\) (real part: 3, imaginary part: 2) → Quadrant I

The point that lies in Quadrant IV is \(3−2i\).