if (z-2)/(z+2) is purely imaginarythen find the value of|z|?
swastik behera , 9 Years ago
Grade 11
Algebra> if (z-2)/(z+2) is purely imaginary then f...
2 Answers
Abhishek Singh
Last Activity: 9 Years ago
if a complex no. is purely img. then its real part must be zero.
using the relation
for any z+(conj z)= 2real part of Z
using this and solving you will get mod(z)=2
Akshay bansal
Last Activity: 6 Years ago
z-2/z+2 =[(x-2)+yi]/[x+2+ yi] × (x+2)-yi/(x+2-yi=>|z|^2-4/|z|^2+4+4x =0. (since x^2+ y^2=|z|^2 and the entire rain is imaginary so real=0)=>|z|^2-4=0=>|z|=2
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