Home
Class 11
MATHS
If |z(1)-1| le 1, |z(2)-2| le 2, |z(3)-3...

If `|z_(1)-1| le 1, |z_(2)-2| le 2, |z_(3)-3| le 3`, then find the greatest value of `|z_(1) + z_(2) +z_(3)|`

Text Solution

Verified by Experts

The correct Answer is:
12
Promotional Banner

Similar Questions

Explore conceptually related problems

If |z - (3)/(z)| = 2 , then the greatest value of |z| is a)1 b)2 c)3 d)4

If |z_(1) + z_(2)|=|z_(1)-z_(2)| , then the difference in the amplitudes of z_(1) and z_(2) is

If (5z_(2))/(11z_(1)) is purely imaginary , then the value of |(2z_(1)+3z_(2))/(2z_(1)-3z_(2))| is

If |z| le 4 then the maximum value of |iz+3-4i| is equal to

If |z_(1)|= 2, |z_(2)|= 3 , then |z_(1) + z_(2) +5+12i| is less than or equal to

If z_(1), z_(2),……..,z_(n) are complex numbers such that |z_(1)| = |z_(2)| = …….. = |z_(n)| = 1 , then |z_(1) + z_(2) +……..+ z_(n)| is equal to a) |z_(1)z_(2)z_(3)…..z_(n)| b) |z_(1)|+|z_(2)|+…….+|z_(n)| c) |(1)/(z_(1)) + (1)/(z_(2)) + ……….+ (1)/(z_(n))| d)n

If z+ sqrt2 |z+1| +ii=0 then the value of |z|^(2) is