Answer: r².
- A r
- B r²
- C 2r
- D r²e<sup>2θ</sup>
Correct answer: B. r²
Explanation: z<sup>2</sup> = r<sup>2</sup> e<sup>2i theta</sup>. |z<sup>2</sup>| = r<sup>2.</sup>
A complex number z = a+ib is plotted as a point (or vector from the origin) on the Argand plane, with the real part along the horizontal axis and the imaginary part along the vertical; its modulus |z| is the vector's length, and its argument θ is the angle from the positive real axis.
Concept context
Complex numbers in a+ib form, modulus, argument, polar form, cube roots of unity, and quadratic equations with complex roots
Read the full Complex Numbers and Quadratic Equations notes →