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  • I need help with Let z is a complex number which is 3 units away from origin then

Let z is a complex number which is 3 units away from origin then 

  • Option 1)

    -3\leq Re\left ( z \right )\leq 3

  • Option 2)

    -2\leq Re\left ( z \right )\leq 2

  • Option 3)

    -1\leq Re\left ( z \right )\leq 1

  • Option 4)

    Can't be determined.

 

Answers (1)

best_answer

using concept 720, we get  \left | z \right |=3

So with concept 722, we get -3\leq Re\left ( z \right )\leq 3

\therefore Option (A)

 

Property of Modulus of z(Complex Number) -

-\left | z \right |\leq Re(z)\leq \left | z \right |

- wherein

Re(z) = Real Part of z

|z|= Modulus of z

 

 


Option 1)

-3\leq Re\left ( z \right )\leq 3

This is correct

Option 2)

-2\leq Re\left ( z \right )\leq 2

This is incorrect

Option 3)

-1\leq Re\left ( z \right )\leq 1

This is incorrect

Option 4)

Can't be determined.

This is incorrect

Posted by

divya.saini

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