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Question

If z1=iz2 and z1z3=i(z3z2), then |z3|=2|z1|

A
True
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B
False
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Solution

The correct option is B False
z1=iz2
z1z3=i(z3z2)
z1z3=i(z3z1i)
z1z3=z3iz1
2z1=z3+iz3
2z1=z3(1+i)
z3=2z11+i
|z3|=2z11+i
=212+i2|z1|
Hencegivenstatementisfalse

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