Grade 11Algebra
if |z+1/z|=1;prove that for maximum |z|, z is purely imaginary
if |z+1/z|=1;prove that for maximum |z|, z is purely imaginary
1 Answer
ragini
to prove [z+1/z] = 1
imaginary numbers are the squreroot of non positive real numbers ,since zero is non positive number and is its own squareroot , zero can be considered as imaginary number
let number be in equation
if z = 0
[0+1/0]= 1
1/0=1
1/0 is undefined value so it can be the maximum value for z.
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