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Complex Numbers question

2024 · 29 Jan · Shift 2 · Q47

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JEE Main
Mathematics
Complex Numbers
2024 · 29 Jan · Shift 2 · Q47

Complex Numbers question

2024 · 29 Jan · Shift 2 · Q47

JEE MainMathematicsComplex NumbersMCQ+4 / −1

Let

\mathrm{r}

and

\theta

respectively be the modulus and amplitude of the complex number

z=2-i\left(2 \tan \frac{5 \pi}{8}\right)

, then

(\mathrm{r}, \theta)

is equal to

A
$\left(2 \sec \frac{11 \pi}{8}, \frac{11 \pi}{8}\right)$
B
$\left(2 \sec \frac{3 \pi}{8}, \frac{3 \pi}{8}\right)$
C
$\left(2 \sec \frac{5 \pi}{8}, \frac{3 \pi}{8}\right)$
D
$\left(2 \sec \frac{3 \pi}{8}, \frac{5 \pi}{8}\right)$

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