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Let z_{1} and z_{2} are two complex numbers such that \left |\frac{z_{1}}{z_{2}} \right |= 4. if dixtance of z_{1} from origin is 16 units then distance from z_{2} from origin equals

  • Option 1)

    2 Units

  • Option 2)

    4 Units

  • Option 3)

    8 Units

  • Option 4)

    16 Units

 

Answers (1)

\because \left | \frac{z_{1}}{z_{2}} \right |=4\Rightarrow \frac{\left | z_{1} \right |}{\left | z_{2} \right |}=4

It is also given that \left | z_{1} \right |=16 (using concept 720)

\Rightarrow \frac{16}{\left | z_{2} \right |}=4  so  \left | z_{2} \right |=\frac{16}{4}=4

\therefore Option (B)

 

Property of Modulus of z(Complex Number) -

\left |\frac{z_{1}}{z_{2}} \right |=\frac{\left |z_{1} \right |}{\left |z_{2} \right |}

- wherein

|.| denotes modulus of complex number

 

 


Option 1)

2 Units

This is incorrect

Option 2)

4 Units

This is correct

Option 3)

8 Units

This is incorrect

Option 4)

16 Units

This is incorrect

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subam

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