CameraIcon

SearchIcon

MyQuestionIcon

1

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

Position Vector

If z1=1+2i,...

Question

If $z_{1} = 1 + 2 i, z_{2} = 2 + 3 i, z_{3} = 3 + 4 i$ , then $z_{1}, z_{2}, z_{3}$ represent the vertices of a?

A

Equilateral triangle

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

B

Right angled triangle

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

C

Isosceles triangle

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

D

None of these

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

Open in App

Solution

The correct option is D None of these
$z_{3} + z_{1}$
$= 4 + 6 i$
$= 2 (2 + 3 i)$
$= 2 z_{2}$
Hence
$z_{2}$ is the mid point of $^{'} z_{3} z_{1}$
Hence all the points are collinear.

Suggest Corrections

thumbs-up

0

Similar questions

z_{1} = 1 + 2 i, z_{2} = 2 + 3 i, z_{3} = 3 + 4 i,

z_{1}, z_{2}

z_{3}

represent the vertices of

z_{1} = 1 + 2 i, z_{2} = 2 + 3 i, z_{3} = 3 + 4 i

z_{1}, z_{2}

z_{3}

z_{1}, z_{2}, z_{3}

represent the vertices of an equilateral triangle such that

| z_{1} | = | z_{2} | = | z_{3} |

z_{1} = 1 + 2 i, z_{2} = 2 + 3 i, z_{3} = 3 + 4 i, p r o v e t h a t t h e n z_{1}, z_{2} a n d z_{3}

State True and False

z_{1} = 1 + 2 i, z_{2} = 2 + 3 i, z_{3} = 3 + 4 i,

z_{1}, z_{2}

z_{3}

Type 1 for true and 0 for false

View More

Join BYJU'S Learning Program

similar_icon

Related Videos

lock

Distance and Displacement

PHYSICS

Watch in App

explore_more_icon

Explore more

Position Vector

Standard XII Physics

Join BYJU'S Learning Program

CrossIcon