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I need help with - Complex numbers and quadratic equations - JEE Main-7

Let z is a complex number 5 units away from origin then Re\left ( z \right ) can't be more than

  • Option 1)

    1

  • Option 2)

    3

  • Option 3)

    4

  • Option 4)

    5

 
Answers (1)
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From given condition , \left |z \right |=5

\therefore -5\leq Re\left ( z \right )\leq 5

\therefore MAXIMUM Re\left ( z \right ) can be 5 so it can't exceed 5.

\therefore Option (D)

 

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)

1

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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