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  • Help me solve this - Complex numbers and quadratic equations - JEE Main-3

Let z is a complex number with its conjugate as -4-3i  then \left | z \right |  equals

  • Option 1)

    2

  • Option 2)

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  • Option 3)

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  • Option 4)

    5

 

Answers (1)

best_answer

It is given that \overline{z}= -4-3i

\therefore \: \: z=\overline{\left ( \overline{z} \right )}= \overline{-4-3i}= -4+3i

\Rightarrow \left | z \right |= \sqrt{16+9}= \sqrt{25}= 5

 

 

Properties of Conjugate of Complex Number -

\bar{\bar{z}}=z

- wherein

\bar{z} denotes conjugate of z

 

 


Option 1)

2

This is incorrect.

Option 2)

3

This is incorrect.

Option 3)

4

This is incorrect.

Option 4)

5

This is correct.

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Himanshu

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