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Question

Let z be a complex number find the value of z-iz+2i=1 andz=52. Then the value of z+3i is :


A

10

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B

72

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C

154

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D

23

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Solution

The correct option is B

72


Explanation for the correct option:

Calculating the value of z+3i:

Given

z-iz+2i=1z-i=z+2i

This means that z lies on the perpendicular bisector of (0,1)and(0,-2)

Img=-12

Now, let

z=x-i2z=52x2=6

z+3i=x+5i2=x2+254=6+254=72

Hence, option (B) is the correct answer.


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