Browse by Stream
QnA
Home
QnA
Go To Your Study Dashboard

Get Answers to all your Questions

header-bg qa
  • Home
  • Engineering
  • Confused! kindly explain, - Complex numbers and quadratic equations - JEE Main-11

If \left (\bar{z} \right )^{3}= 5-7i  then z^{3} equals 

  • Option 1)

    -5-7i

  • Option 2)

    -5+7i

  • Option 3)

    5+7i

  • Option 4)

    5-7i

 

Answers (1)

best_answer

\bar{z}^{3}= 5-7i

(\overline{z^{3}})= 5-7i

Taking conjugate both side , we get 

z^{3}= 5+7i

 

Properties of Conjugate of Complex Number -

(\bar{z})^{n}=\overline{z^n}

- wherein

\bar{z} denotes conjugate of z.

 

 


Option 1)

-5-7i

This is incorrect

Option 2)

-5+7i

This is incorrect

Option 3)

5+7i

This is correct

Option 4)

5-7i

This is incorrect

Posted by

Himanshu

View full answer

JEE Main high-scoring chapters and topics

Study 40% syllabus and score up to 100% marks in JEE

Similar Questions

Trending Articles/News

anam-khan

JEE Main Marks vs Percentile 2025: How many marks do you need to score 95+ percentile?
anam-khan

JEE Main 2025 session 1 official answer key out; challenge by February 6; how to calculate NTA score?
anam-khan

JEE Main 2025: NIT Raipur's CSE cut-offs drop; closing ranks in popular branches

Latest Question