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If z is any complex number satisfying |z...

If z is any complex number satisfying `|z-3-2i|lt=2` then the maximum value of `|2z-6+5i|` is

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`Abs(z-3-2i=5/2i)<=2`
`2*Abs[z-3+5/2i]=2*Abs[z-3-2i+2i+5/2i]`
`=2Abs[z-3-2*i=(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`
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