Find the missing value when given the modulus. 2. |a-i| = √37 (in the third quadrant) I know the ans

Question

Find the missing value when given the modulus.

2.
|a-i| = √37 (in the third quadrant)

I know the answer I just need to know how to solve it!

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Hồng Cúc 3 hours 2023-01-14T04:20:43+00:00 1 Answer 0 views 0

Answer ( 1 )

  1. thnahdat
    0
    2023-01-14T04:22:26+00:00
    Reply
    Solving the complex number, we get the value of the missing value that is ‘a’ = -6
    We  have been given the expression as
              |a – i| = √37          (1)
    Which is an expression of complex number. The general expression of complex number is given as
        z = x + iy
     where x is the real part and iy is the imaginary part
    To find the modulus value, the formula is given by,
      |z| = |x + iy|
       |z| = √[(real part)2 + (imaginary part)2]
     |z| = √(x2 + y2)
    According to the question, |z| = √37         (2)
    Equating equation (1) and (2), we get
    √(a2 + 1) = √37
    (a2 + 1) = 37
    a2 = 37 – 1
    a2 = 36
    a = √36
    a = ±6
    Now value of a can be 6 or -6. We have been given that the modulus is in third quadrant.
    Hence the value will be negative. Therefore, the missing value will be -6.
    Learn more about complex number here : https://brainly.com/question/5564133
    #SPJ9

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