Let r and \theta respectively be the modulus and amplitude of the complex number z=2-i (2 \tan \frac{5 \pi}{8}), then (r, \theta) is equal to [29-Jan-2024 Shift 2]

Correct Answer is : (2 sec3π8,3π8)

(2 \sec \frac{3 \pi}{8}, \frac{3 \pi}{8})

(2 \sec \frac{3 \pi}{8}, \frac{5 \pi}{8})

(2 \sec \frac{5 \pi}{8}, \frac{3 \pi}{8})

(2 \sec \frac{11 \pi}{8}, \frac{11 \pi}{8})

JEE Main 29-Jan-2024 Shift 2 Solved Paper

Section: Mathematics

Question : 6 of 90

Marks: +1, -0

Let r and θ respectively be the modulus and amplitude of the complex number z=2−i(2‌tan‌

5π

), then (r,θ) is equal to

[29-Jan-2024 Shift 2]

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