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Determine the modulus of each of the complex numbers in the matching pairs. List these moduli in order from smallest to largest. Use the letters of the matching pair in your listing.

 

Suppose m = 2 + 6i, and |m + n| = 3√10 , where n is a complex number.

a.     What is the minimum value of the modulus of n?

√10

Provide one example of the complex number, n.

 

A = J → 2 + 6i

B = F →75

C = H → -3 - i

D = I → 1 + i

E = G → 5 + 5i

these are my matching pairs

 May 11, 2021
 #1
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C would have modulus of sqrt 10     to correspond to answer found in part A of the Question

 May 11, 2021

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