If z is any complex number satisfying `|z-3-2i|lt=2` then the maximum – InterviewSolution

InterviewSolution

1.	If z is any complex number satisfying `\|z-3-2i\|lt=2` then the maximum value of `\|2z-6+5i\|` is
Answer» `Abs(z-3-2i=5/2i)<=2` `2Abs[z-3+5/2i]=2Abs[z-3-2i+2i+5/2i]` `=2Abs[z-3-2i=(9/4)i` we know, `abs[z_1]+abs[z_2]>=abs[z_1+z_2]` `Abs[2-3-2i+(9/4)i]=Abs(abs(z-3-2i)-abs((9/4)i]``=Abs[2-9/4]``=5/2` `2Abs[z-3-2i=(9/4)i=2*(5/2)` Ans=`5`

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