MyQuestionIcon

1

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

Properties of Conjugate of a Complex Number

The value of ...

Question

The value of $x + y + z$ if $x^{2} + y^{2} + z^{2} = 18$ and $x y + y z + z x = 9$ is

A

9

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

B

3

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

C

6

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

D

8

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

Open in App

Solution

The correct option is C $6$
Squaring both sides
$(x + y + z)^{2} = x^{2} + y^{2} + z^{2} + 2 (x y + y z + z x)$
we can substitute given values
$(x + y + z)^{2} = 18 + (2 \times 9)$
$(x + y + z)^{2} = 36$
$(x + y + z) = 6$

Suggest Corrections

thumbs-up

0

Similar questions

x - y + z = 5

x^{2} + y^{2} + z^{2} = 49

, find the value of :

z x - x y - y z

\frac{x^{2} + y^{2} + z^{2} - 64}{x y - y z - z x} = - 2

x + y = 3 z

, then the value of

z

x^{2} + y^{2} + z^{2} - x y - y z - z x = 0

then the value of

\frac{x + y}{z}

x + y + z = 10

x y + y z + z x = 20

, what is the value of

x^{2} + y^{2} + z^{2}

x + y + z = 0,

what will be the value of

\frac{x^{2} + y^{2} + z^{2}}{- (x y + y z + z x)} ?

View More

Join BYJU'S Learning Program

similar_icon

Related Videos

lock

Properties of Conjugate of a Complex Number

MATHEMATICS

Watch in App

explore_more_icon

Explore more

Properties of Conjugate of a Complex Number

Standard XII Mathematics

Join BYJU'S Learning Program

CrossIcon