A) 0
B) 1
C) 2
D) None of these
Correct Answer: B
Solution :
Using the result \[\left| {{z}_{1}}+{{z}_{2}} \right|\le \left| {{z}_{1}} \right|+\left| {{z}_{2}} \right|\] we get \[\left| z \right| + \left| z - i \right| = \left| z \right| + \left| i - z \right|\] [since \[\left| \,z\, \right| = \left[ -z| \right]\] \[\le \,|z+i\,-z|=\,\,\left| i \right|=1\] minimum value of \[\left| \,z\, \right| + \left| z\,-i \right|\] is 1You need to login to perform this action.
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