If \left | z+4 \right |\leq 3, then the maximum value of \left | z+1 \right | is

  • Option 1)

    6

  • Option 2)

    0

  • Option 3)

    4

  • Option 4)

    10

 

Answers (3)

As we learnt in

Triangle Law of Inequality in Complex Numbers -

\left | z_{1}+z_{2} \right |\leq \left | z_{1} \right |+\left | z_{2} \right |

- wherein

|.| denotes modulus of complex number.

 

 

|z+4|\leq3

|z+1|_{max}=|z+4-3|_{max}=|z+4|+3=3+3=6

Correct option is 1.

 


Option 1)

6

This is the correct option.

Option 2)

0

This is an incorrect option.

Option 3)

4

This is an incorrect option.

Option 4)

10

This is an incorrect option.

N neha
R Rajan

Option 2 

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