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  • Try this! - Complex numbers and quadratic equations - JEE Main-10

Let z and w are two complex numbers such that \left |z \right |= 5 and \left |w \right |= 2 then \left |z-w \right | can't be less than 

  • Option 1)

    3

  • Option 2)

    4

  • Option 3)

    5

  • Option 4)

    6

 

Answers (1)

best_answer

\left | z-w \right |\geq \left | \left | z \right |-\left | w \right | \right |

\Rightarrow \left | z-w \right |\geq \left | 5-2 \right |

\Rightarrow \left | z-w \right |\geq 3

\therefore \: \Rightarrow \left | z-w \right | has minimum value 3

\therefore Option (A)

 

Property of Modulus of z(Complex Number) -

|z1z2|=|z1||z2|

- wherein

|.| denotes modulus of complex number

 

 


Option 1)

3

This is correct

Option 2)

4

This is incorrect

Option 3)

5

This is incorrect

Option 4)

6

This is incorrect

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Aadil

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