Grade 11Algebra
if |z-i| less than equal to 2. (z1)=5+3i, then the maximum value of |iz+z1| is (z and z1 are complex no.).
if |z-i| less than equal to 2. (z1)=5+3i, then the maximum value of |iz+z1| is (z and z1 are complex no.).
3 Answers
Riddhish Bhalodia
Solution in the figure
jagdish singh singh
SREEKANTH
if you take z=x+iy
|z-i|=sqrt(x^2+(y-1)^2)
x^2+(y-1)^2
x^2+y^2-2y
z1=5+i3
the maximum value of |iz+z1|=|ix-y+5+i3|
=|(5-y)+i(x+3)|
=sqrt(5-y)^2+(x+3)^2)
=sqrt(x^2+y^2+6x+34-10y)
=sqrt(1.99+34+6x-8y)
=sqrt(1.99+34+6(0.9)-8(0.9)
=sqrt(34+7.3-7.2)
s0 maximum value sqrt(34.111)
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