Complex Numbers Loci?

2017-09-04 8:37 pm
v = 2 + bi

Lies on the locus represented by
[z+3] = [z+1-i]

Find b given, b is real.

回答 (1)

2017-09-05 5:24 pm
✔ 最佳答案
|v + 3|=|5 + bi|= √( 5² + b² )
|v + 1 - i|=|3 + (b-1)i|= √[ 3² + (b-1)² ]

5² + b² = 3² + (b-1)²
25 + b² = 9 + b² - 2b + 1
2b = - 15
b = - 7.5 ..... Ans


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