Home
Class 12
MATHS
If |z1-1|lt=,|z2-2|lt=2,|z3-3|lt=3, then...

If `|z_1-1|lt=,|z_2-2|lt=2,|z_3-3|lt=3,` then find the greatest value of `|z_1+z_2+z_3|`

A

is less than 6

B

is more than 3

C

is less than 12

D

lies between 6 and 12

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • COMPLEX NUMBER

    MOTION|Exercise EXERCISE - 1 (OBJECTIVE PROBLEMS I JEE MAIN) - SECTIONS - F|4 Videos

  • COMPLEX NUMBER

    MOTION|Exercise EXERCISE - 1 (OBJECTIVE PROBLEMS I JEE MAIN) - SECTIONS - G, H , I & J|2 Videos

  • COMPLEX NUMBER

    MOTION|Exercise EXERCISE - 1 (OBJECTIVE PROBLEMS I JEE MAIN) - SECTIONS - D|2 Videos

  • CIRCLE

    MOTION|Exercise Exercise - 4 | Level - II (Previous Year | JEE Advanced|22 Videos

  • CONTINUITY

    MOTION|Exercise EXERCISE - 4 (LEVEL -II) (PREVIOUS YEAR JEE ADVANCED)|5 Videos

Similar Questions

Explore conceptually related problems

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

If |z-(3)/(z)|=2 ,then the greatest value of |z| is

If z_1,z_2,z_3 are three complex numbers such that |z_1|=|z_2|=|z_3|=1 , find the maximum value of |z_1-z_2|^2+|z_2-z_3|^2+|z_3+z_1|^2

Find the minimum value of |z-1 if |z-3|-|z+1||=2

If |z_(1)|=2,|z_(2)|=3,|z_(3)|=4and|z_(1)+z_(3)+z_(3)|=2 ,then the value of |4z_(2)z_(3)+9z_(3)z_(1)+16z_(1)z_(2)|

If |z_(1)|=1,|z_(2)|=1,|(1)/(z_(1))+(1)/(z_(2))|=(3)/(2) then find the value of 2|z_(1)+z_(2)|]|=(3)/(2) then

If |z_(1)-1|lt 1,|z_(2)-2|lt 2,|z_(3)-3|lt 3 , then |z_(1)+z_(2)+z_(3)|