Home
Class 11
MATHS
For any two complex number z1a n d\ z2 p...

For any two complex number `z_1a n d\ z_2` prove that: `|z_1+z_2|lt=|z_1|+|z_2|`

Text Solution

Verified by Experts

The correct Answer is:
N/a
Promotional Banner

Topper's Solved these Questions

  • COMPLEX NUMBERS AND QUADRATIC EQUATION

    NAGEEN PRAKASHAN|Exercise EXERCISE 5D|6 Videos
  • COMPLEX NUMBERS AND QUADRATIC EQUATION

    NAGEEN PRAKASHAN|Exercise EXERCISE 5E|10 Videos
  • COMPLEX NUMBERS AND QUADRATIC EQUATION

    NAGEEN PRAKASHAN|Exercise EXERCISE 5B|28 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 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)| =|z_(1)|-|z_(2)| and |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 any two complex numbers z_(1) and z_(2) prove that: |backslash z_(1)+z_(2)|^(2)+|backslash z_(1)-z_(2)|^(2)=2[|backslash z_(1)|^(2)+|z_(2)|^(2)]

Which of the following are correct for any two complex numbers z_1 and z_2? (A) |z_1z_2|=|z_1||z_2| (B) arg(|z_1 z_2|)=(argz_1)(arg,z_2) (C) |z_1+z_2|=|z_1|+|z_2| (D) |z_1-z_2|ge|z_1|-|z_2|

For all complex numbers z_(1) and z_(2) , prove that |z_(1)+z_(2)|^(2)+|z_(1)-z_(2)|^(2)=2(|z_(1)|^(2)+|z_(2)|^(2)) .

For any two complex numbers z_(1) and prove that quad Re(z_(1)z_(2))=Re z_(1)Re z_(2)-|mz_(1)|mz_(2)