Home
Class 12
MATHS
If z1 and z2 are two non zero complex nu...

If `z_1 and z_2` are two non zero` complex number such that`|z_1+z_2|=|z_1|+|z_2|` then `arg z_1-argz_2` is equal to (A) `- pi/2` (B) `0` (C) `-pi` (D) `pi/2`

Answer

Step by step text solution for If z_1 and z_2 are two non zero complex number such that|z_1+z_2|=|z_1|+|z_2| then arg z_1-argz_2 is equal to (A) - pi/2 (B) 0 (C) -pi (D) pi/2 by MATHS experts to help you in doubts & scoring excellent marks in Class 12 exams.

Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • B. Arch 2021 (A)

    JEE MAINS PREVIOUS YEAR|Exercise QUESTION|13 Videos

  • BINOMIAL THEOREM

    JEE MAINS PREVIOUS YEAR|Exercise All Questions|13 Videos

Similar Questions

Explore conceptually related problems

If z_1 and z_2 are two nonzero complex numbers such that |z_1-z_2|=|z_1|-|z_2| then arg z_1 -arg z_2 is equal to

If z_(1) and z_(2), are two non-zero complex numbers such tha |z_(1)+z_(2)|=|z_(1)|+|z_(2)| then arg(z_(1))-arg(z_(2)) is equal to

Knowledge Check

  • If z_1 and z_2 are two non- zero comlex numbers such that |z_1+z_2|=|z_1|+|z_2| then arg (z_1)- arg (z_2) is equal to

    A
    `-pi`
    B
    `-pi/2`
    C
    0
    D
    `pi/2`

  • If z_1 and z_2 are two non-zero complex numbers such that |z_1+z_2|=|z_1|+|z_2| , then arg( z_1 )-arg( z_2 ) is equal to

    A
    `-pi/2`
    B
    0
    C
    `-pi`
    D
    `pi/2`

  • Let Z_1 and Z_2 are two non-zero complex number such that |Z_1+Z_2|=|Z_1|=|Z_2| , then Z_1/Z_2 may be :

    A
    `1 + omega`
    B
    `1+ omega^2`
    C
    `omega`
    D
    `omega^2`

    • Similar Questions

    Explore conceptually related problems

    If z_(1) and z_(2) are two nonzero complex numbers such that =|z_(1)+z_(2)|=|z_(1)|+|z_(2)|, then argz_(1)-arg z_(2) is equal to -pi b.-(pi)/(2) c.0d.(pi)/(2) e.pi

    If z_(1) and z_(2), are two non-zero complex numbers such that |z_(1)+z_(2)|=|z_(1)|+|z_(2)| then arg(z_(1))-arg(z_(2)) is equal to (1)0(2)-(pi)/(2) (3) (pi)/(2)(4)-pi

    If z_(1)&z_(2) are two non-zero complex numbers such that |z_(1)+z_(2)|=|z_(1)|+|z_(2)|, then arg (z_(1))-arg(z_(2)) is equal to a.-pi b.-(pi)/(2)c*(pi)/(2) d.0

    If z_1 and z_2 are two complex numbers such that z_1/z_2+z_2/z_1=1 , then

    If z_1 and z_2 are two distinct non-zero complex number such that |z_1|= |z_2| , then (z_1+ z_2)/(z_1 - z_2) is always

    Home
    Profile