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Question

Let z be a complex number satisfying |z5i|1 such that amp(z) is minimum. Then, z is equal to

A
265+24i5
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B
245+26i5
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C
26524i5
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D
None of these
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Solution

The correct option is A 265+24i5
Let

z=265+24i5

Then,

|z5i|

=265+24i55i

=265+24i55i

=265i5

Amp(z)=

 (265)2+(15)2

24+125

2525

=1

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