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  • Help me please, - Complex numbers and quadratic equations - JEE Main-11

Let z and w= -12+5i are equidistant from origin then

  • Option 1)

    -10\leq Re\left ( z \right )\leq 10

  • Option 2)

    -9\leq Re\left ( z \right )\leq 9

  • Option 3)

    -13\leq Re\left ( z \right )\leq 13

  • Option 4)

    -12\leq Re\left ( z \right )\leq 12

 

Answers (1)

best_answer

\left | w \right |=\sqrt{144+25}=13

\because \left | z \right |=\left | w \right |\: so\: \left | z \right |=13

\therefore -13\leq Re\left ( z \right )\leq 13

 

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)

-10\leq Re\left ( z \right )\leq 10

This is incorrect

Option 2)

-9\leq Re\left ( z \right )\leq 9

This is incorrect

Option 3)

-13\leq Re\left ( z \right )\leq 13

This is correct

Option 4)

-12\leq Re\left ( z \right )\leq 12

This is incorrect

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Plabita

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