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If |z| = 4 and arg z = (5π/6), then the value of z is
  • a)
    2√3 - 2i
  • b)
    2√3 + 2i
  • c)
    -2√3 + 2i
  • d)
    -√3 + i
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
If |z| = 4 and arg z = (5π/6), then the value of z isa)2√3 - ...
Given Information:
|z| = 4
arg z = 5π/6

Solution:

1. Finding the Complex Number 'z' using Polar Form
Given that |z| = 4 and arg z = 5π/6, we can represent the complex number 'z' in polar form as:
z = 4(cos(5π/6) + isin(5π/6))
z = 4(-√3/2 + i(1/2))
z = -2√3 + 2i
Therefore, the value of z is -2√3 + 2i, which matches with option 'C'.
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If |z| = 4 and arg z = (5π/6), then the value of z isa)2√3 - 2ib)2√3 + 2ic)-2√3 + 2id)-√3 + iCorrect answer is option 'C'. Can you explain this answer?
Question Description
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