MyQuestionIcon

1

You visited us 1 times! Enjoying our articles? Unlock Full Access!

Vector Addition

If z1, z2...

Question

If $z_{1}$ , $z_{2}$ are two complex number such that $| z_{1} | = | z_{2} |$ and arg $z_{1} +$ arg $z_{2} = 0$ then $z_{1}$ , $z_{2}$ and

A

Equal

No worries! We‘ve got your back. Try BYJU‘S free classes today!

B

Not equal

No worries! We‘ve got your back. Try BYJU‘S free classes today!

C

Conjugate to each other

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

D

Need not be conjugate

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is C Conjugate to each other
$| z_{1} | = | z_{2} |$
Also, $a r g (z_{1}) = - a r g (z_{2})$
Hence, $z_{1}$ & $z_{2}$ lie on opposite side of real axis with same modulus
Hence, $| z_{1} | = | z_{2} |$ &
$a r g (z_{1}) = θ = - a r g (z_{2}) = - (- θ)$
$∴ z_{1}$ & $z_{2}$ are conjugates of each other

Suggest Corrections

thumbs-up

0

Similar questions

z_{1}

z_{2}

are the complex numbers such that

| z_{1} + z_{2} | = | z_{1} | + | z_{2} |

z_{1} -

z_{2}

z_{1}

z_{2}

are two nonzero complex number such that

| z_{1} | + | z_{2} | = | z_{1} + z_{2} |

a r g z_{1} - a r g z_{2}

z_{1}

z_{2}

are two non-zero complex numbers such that

| z_{1} + z_{2} | = | z_{1} | + | z_{2} |

z_{1} -

z_{2}

z_{1}

z_{2}

are two non-zero complex numbers such that

| z_{1} + z_{2} | = | z_{1} | + | z_{2} |

z_{1} -

z_{2}

z_{1}

z_{2}

two non-zero complex number such that

| z_{1} + z_{2} | = | z_{1} | + | z_{2} |

a r g z_{1} - a r g z_{2}

View More

Join BYJU'S Learning Program

similar_icon

Related Videos

lock

Basic Operations

PHYSICS

Watch in App

explore_more_icon

Explore more

Vector Addition

Standard XII Physics

Join BYJU'S Learning Program

CrossIcon