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Question

If 4z19z2+4¯¯¯¯¯z19¯¯¯¯¯z2=0, then the value of z1z2z1+z2 is

A
49
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B
94
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C
1
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D
9
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Solution

The correct option is C 1
4z19z2+4¯¯¯¯¯z19¯¯¯¯¯z2=0

z1z2+¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯(z1z2)=0z1z2 is purely imaginary.

z1=kz2i

z1z2z1+z2=ki1ki+1=1

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