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Question

The complex numbers z=x+iy which satisfy the equation z5iz+5i=1 lie on


A
Real axis
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B
The line y=5
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C
A circle passing through the origin
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D
None of these
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Solution

The correct option is B Real axis

z5iz+5i=1x+i(y5)x+i(y+5)=1

 x+i(y5)=x+i(y+5),  ( z1z2= z1 z2)

x2+2510y+y2=y2+25=10y
 20y=0 y=0.
 


Mathematics

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