Home
Class 11
MATHS
If two complex numbers z(1) and z(2) are...

If two complex numbers `z_(1) and z_(2)` are such that `|z_(1)|=|z_(2)|`, is it then necessary that `z_(1)=z_(2)` ?

Text Solution

Verified by Experts

The correct Answer is:
No.
Promotional Banner

Topper's Solved these Questions

  • COMPLEX NUMBERS

    MODERN PUBLICATION|Exercise Exercise 5 (i) Long Answer Type Questions|8 Videos
  • COMPLEX NUMBERS

    MODERN PUBLICATION|Exercise Exercise 5 (j) Long Answer Type Questions|12 Videos
  • COMPLEX NUMBERS

    MODERN PUBLICATION|Exercise Exercise 5 (h) Long Answer Type Questions|7 Videos
  • BINOMIAL THEOREM

    MODERN PUBLICATION|Exercise COMPETITION FILE (JEE MAIN)|11 Videos
  • CONIC SECTIONS

    MODERN PUBLICATION|Exercise CHAPTER TEST 11|12 Videos

Similar Questions

Explore conceptually related problems

If two complex numbers z_(1),z_(2) are such that |z_(1)|=|z_(2)| , is it then necessary that z_(1)=z_(2) ?

For any two complex number z_(1) and z_(2) prove that: |z_(1)+z_(2)|>=|z_(1)|-|z_(2)|

For any two complex number z_(1) and z_(2) prove that: |z_(1)-z_(2)|>=|z_(1)|-|z_(2)|

For any two complex number z_(1) and z_(2) prove that: |z_(1)+z_(2)|<=|z_(1)|+|z_(2)|

For any two complex number z_(1) and z_(2) prove that: |z_(1)-z_(2)|<=|z_(1)|+|z_(2)|

If Z1 and Z2 are two complex numbers such that |z1|=|z2|. ls it necessary that z1=z2 ?

If for complex numbers z_(1) and z_(2) , arg z_(1)-"arg"(z_(2))=0 then |z_(1)-z_(2)| is equal to

For any two complex numbers z_(1) and z_(2), prove that |z_(1)+z_(2)| =|z_(1)|-|z_(2)| and |z_(1)-z_(2)|>=|z_(1)|-|z_(2)|

For two complex numbers z_(1) and z_(2) , we have |(z_(1)-z_(2))/(1-barz_(1)z_(2))|=1 , then