Home
Class 11
MATHS
For any two complex numbers z1 and z2, w...

For any two complex numbers `z_1` and `z_2`, we have `|z_1+z_2|^2=|z_1|^2+|z_2|^2`, then

A

`Re((z_(1))/(z_(2)))=0`

B

`Im((z_(1))/(z_(2)))=0`

C

`Re(z_(1)z_(2))=0 `

D

`Im (z_(1)z_(2))=0 `

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • COMPLEX NUMBERS AND QUADRATIC EQUATION

    NAGEEN PRAKASHAN|Exercise EXERCISE 5.1|14 Videos
  • COMPLEX NUMBERS AND QUADRATIC EQUATION

    NAGEEN PRAKASHAN|Exercise EXERCISE 5.2|8 Videos
  • COMPLEX NUMBERS AND QUADRATIC EQUATION

    NAGEEN PRAKASHAN|Exercise EXERCISE 5E|10 Videos
  • BINOMIAL THEOREM

    NAGEEN PRAKASHAN|Exercise Example|68 Videos
  • CONIC SECTION

    NAGEEN PRAKASHAN|Exercise Miscellaneous Exercise|8 Videos

Similar Questions

Explore conceptually related problems

For any two complex numbers z_(1) and z_(2), we have |z_(1)+z_(2)|^(2)=|z_(1)|^(2)+|z_(2)|^(2), then

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 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)|

For any two complex numbers z_(1) and z_(2) prove that: |z_(1)+z_(2)|^(2)=|z_(1)|^(2)+|backslash z_(2)|^(2)+2Rebar(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