1.

The number of complex numbers z such that `|z-1|=|z+1|=|z-i|` is

Answer» Correct Answer - D
`|a|b|c|d|`
For the number to be divisible by 11, `a+c-(b+d)` should be a multiple of 11.
`because a,b,c,d in{1,2,3,4}`
`therefore a+c-b-d=0impliesa+c=b+d`
`a+c` can vary from 2 to 8.
`{:("Number of ways"=1xx1(a+c=2)),( " "=2xx2(a+c=3)),(" "=3xx3(a+c=4)),(" "=4xx4(a+c=5)),(" "=3xx3(a+c=6)),(" "=2xx2(a+c=7)),(" "=1xx1(a+c=8)):}`


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