The minimum value of - z -1-2 i -4 i -3- z - isA- 2 -13B- -15C- -5D- 5

The correct option is A main value =distance between the points 1 2i amp; 3+4i = 2√(1)3 ...

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Modulus of a Complex Number

The minimum v...

Question

The minimum value of $| z - 1 + 2 i | + | 4 i - 3 - z |$ is

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| Z - 1 + 2 i | + | 4 i - 3 - Z |

| z - 3 - 4 i |^{2} + | z + 2 - 7 i |^{2} + | z - 5 + 2 i |^{2}

z = x + i y

z

| z - 3 - 4 i |^{2} + | z + 2 - 7 i |^{2} + | z - 5 + 2 i |^{2}

z = x + i y

x

z_{1} = 5 + 5 i, z_{2} = - 4 + 4 i, z_{3} = - 3 - 3 i

z_{4} = 2 - 2 i,

i = \sqrt{- 1}

z_{1}, z_{2}

| z_{1} | = 12; | z_{2} - 3 - 4 i | = 5

| z_{1} - z_{2} |

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