Answer: 1.
- A 1
- B 5
- C 25
- D 7/25
Correct answer: A. 1
Explanation: |z<sub>1</sub>/z<sub>2</sub>| = |z<sub>1</sub>|/|z<sub>2</sub>| = sqrt(9+16)/sqrt(16+9) = 5/5 = 1.
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
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