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  • Help me solve this - Complex numbers and quadratic equations - JEE Main-2

Distance between z_{1}=-3+2i and z_{2}=-7-i equals

  • Option 1)

    2 units

  • Option 2)

    3 units

  • Option 3)

    4 units

  • Option 4)

    5 units

 

Answers (1)

best_answer

Distance between Z_{1}\; \; and\; \; Z_{2} = \left | Z_{1}-Z_{2} \right |

Here,   Z_{1}-Z_{2}=4+3i

\therefore \left | Z_{1}-Z_{2} \right |=\sqrt{16+9}=5

 

Distance between Z1 and Z2 -

\left | z_{1}-z_{2} \right |=\left | \left (x_{1}-x_{2} \right )+i\left ( y_{1}-y_{2} \right ) \right |=\sqrt{\left (x_{1}-x_{2} \right )^{2}+\left ( y_{1}-y_{2} \right )^{2}}=  Distance between points \left (x_{1},y_{1} \right ) & \left (x_{2},y_{2} \right ) = distance between z_{1} and z_{2} 

- wherein

z_{1} & z_{2} are any two complex numbers , z_{1}=x_{1}+iy_{1} , z_{2}=x_{2}+iy_{2}

 

 


Option 1)

2 units

This is incorrect

Option 2)

3 units

This is incorrect

Option 3)

4 units

This is incorrect

Option 4)

5 units

This is correct

Posted by

Plabita

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