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Question

If 5z27z1 is purely imaginary, then 2z1+3z22z13z2 is equal to

A
5/7
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B
7/9
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C
25/49
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D
none of these
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Solution

The correct option is C none of these
5z27z1 is purely imaginary
5z27z1=ki, where k ε R
z2z1=7ki5
Now, 2z1+3z22z13z2=2+3.z2/z123z2/z1
=2+3×(7/5)ki23×(7/5)ki

=10+21ki1021ki

=1

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