MyQuestionIcon

1

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

Properties of Conjugate of a Complex Number

If z=4-3√2i...

Question

If $z = 4 - 3 \sqrt{2} i$ then the value of $z ¯ ¯ ¯ z =$

A

16

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

B

32

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

C

17

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

D

34

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

Open in App

Solution

The correct option is B $34$
$z = 4 - 3 \sqrt{2 i}$
$¯ ¯ ¯ z = 4 + 3 \sqrt{2} i$
$∴ z ¯ ¯ ¯ z = 4^{2} - (3 \sqrt{2 i})^{2} = 16 + 18 = 34$

Suggest Corrections

thumbs-up

0

Similar questions

4 z = 1 + 2 i

, then the value of

z^{3} + 7 z^{2} - z + 16

Q. If complex number

z (z \neq 2)

satisfies the equation

z^{2} = 4 z + {| z |}^{2} + \frac{1}{{| z |}^{3}}

, then the value of

{| z |}^{- 4}

z

is a complex number satisfying

| z - 3 - 2 i | \leq 1

, then the maximum value of

| i z + 2 |

S = \frac{1}{3} + \frac{2}{3^{2}} + \frac{3}{3^{3}} + \frac{4}{3^{4}} + \dots \infty,

then the value of

4 S

S = \frac{1}{3} + \frac{2}{3^{2}} + \frac{3}{3^{3}} + \frac{4}{3^{4}} + \dots \infty,

then the value of

4 S

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