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  • Tell me? - Complex numbers and quadratic equations - JEE Main-13

z is a complex number 7 units away from origin then Im\left ( z \right ) can't exceed

  • Option 1)

    4

  • Option 2)

    5

  • Option 3)

    6

  • Option 4)

    7

 

Answers (1)

best_answer

From given condition, \left | z \right |=7

\therefore -7\leq Im\left ( z \right )\leq 7

\therefore  Maximum possible value of Im\left ( z \right ) is 7

So Im\left ( z \right ) can't exceed 7

\therefore  Option (D)

 

Property of Modulus of z(Complex Number) -

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

- wherein

Im (z) = Imaginary part of z

|z|= Modulus of z

 

 


Option 1)

4

This is incorrect

Option 2)

5

This is incorrect

Option 3)

6

This is incorrect

Option 4)

7

This is correct

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