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  • Help me understand! - Complex numbers and quadratic equations - JEE Main-8

If 2x+i\left ( 3y-1 \right )= -8-16i  then  x+y  equals  \left ( Where\: x,y\, \epsilon \, R \right )

  • Option 1)

    -6

  • Option 2)

    -7

  • Option 3)

    -8

  • Option 4)

    -9

 

Answers (1)

best_answer

Two complex numbers are equal when their corresponding real parts and corresponding imaginary parts both are simultaneously equal.

\therefore \: 2x=-8\: \Rightarrow \: x=-4

and,  3y-1=-16\: \Rightarrow \, y=-5

\therefore x+y=-9

 

Equality in Complex Numbers -

z=x+iy & w=a+ib are equal iff x=a & y=b

- wherein

Two complex numbers are equal iff real parts as well as imaginary parts are equal.

 

 


Option 1)

-6

This is incorrect

Option 2)

-7

This is incorrect

Option 3)

-8

This is incorrect

Option 4)

-9

This is correct

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prateek

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