2020HSCMultiple choice

Q9

1 mark

Question

What is the maximum value of $|e^{i\theta}-2|+|e^{i\theta}+2|$ for $0\leq\theta\leq2\pi$ ?

A. $\sqrt5$
B. $4$
C. $2\sqrt5$
D. $10$

Try the question before revealing the answer.

Syllabus alignment

Complex Numbers

Geometrical implications of complex numbersInterpret complex-number operations geometrically and solve problems involving roots and loci in the complex plane.

Spot a problem? Send feedback