Home
Class 12
MATHS
If z1,z2,.....zn lie on the circle |z|=2...

If `z_1,z_2,.....z_n` lie on the circle `|z|=2` then the value of `|z_1+z_2+....+z_n|-4|1/(z_1)+1/(z_2)+....+1/(z_n)|=`

A

0

B

n

C

`-n`

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • COMPLEX NUMBER

    MOTION|Exercise EXERCISE - 2 (LEVEL -I) OBJECTIVE PROBLEMS - JEE MAIN|21 Videos

  • COMPLEX NUMBER

    MOTION|Exercise EXERCISE - 2 (LEVEL -II) MULTIPLE CORRECT - JEE ADVANCED|10 Videos

  • COMPLEX NUMBER

    MOTION|Exercise EXERCISE - 1 (OBJECTIVE PROBLEMS I JEE MAIN) - SECTIONS - M, N & O|9 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 the complex numbers z_1, z_2,.......z_n lie on te unit circle |z| = 1 then show that |z_1 + z_2 + ..... + z_n| = |z_1^(-1)1 + z_2^(-1) + ....... + z_n^(-1)|.

If z_(1),z_(2),……………,z_(n) lie on the circle |z|=R , then |z_(1)+z_(2)+…………….+z_(n)|-R^(2)|1/z_(1)+1/z_(2)+…….+1/z-(n)| is equal to

If z_1ne-z_2 and |z_1+z_2|=|1/z_1 + 1/z_2| then :

if z_(1),z_(2),z_(3),…..z_(n) are complex numbers such that |z_(1)|=|z_(2)| =….=|z_(n)| = |1/z_(1) +1/z_(2) + 1/z_(3) +….+1/z_(n)| =1 Then show that |z_(1) +z_(2) +z_(3) +……+z_(n)|=1

If |z_1|=|z_2|=.=|z_n|=1, then the value of |z_1+z_2+z_3+..+z_n| is equal to (A) 1 (B) |z_1|+|z_2|+z_3|+…..+|z_n| (C) |1/z_1+1/z_2+1/z_3+……….+1/z_n| (D) n

If |z_(1)|=|z_(2)|=………….=|z-(n)|=1 , then the value of |z_(1)+z_(2)+………+z_(n)| , is