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  • Solve this problem - Complex numbers and quadratic equations - JEE Main-6

Let z_{1} and z_{2} are two complex numbers such that \bar{z_{1}}+\bar{z_{2}}= 5-6i  then z_{1}+z_{2}  equals 

  • Option 1)

    5-6i

  • Option 2)

    -5+6i

  • Option 3)

    5+6i

  • Option 4)

    -5-6i

 

Answers (1)

best_answer

\because \bar{z_{1}}+\bar{z_{2}} = 5 - 6i

\bar{z_{1}+z_{2}} = 5 - 6i

{z_{1}+z_{2}} = 5 + 6i

 

Properties of Conjugate of Complex Number -

\bar{z_{1}}+\bar{z_{2}}=\overline{z_{1}+z_{2}}

- wherein

\bar{z} denotes conjugate of z

 

 

 


Option 1)

5-6i

This is incorrect

Option 2)

-5+6i

This is incorrect

Option 3)

5+6i

This is correct

Option 4)

-5-6i

This is incorrect

Posted by

divya.saini

View full answer

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