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  • Tell me? - Complex numbers and quadratic equations - JEE Main-11

If 4x+i\left ( 3x-2y \right )=3-1 , then x+y equals \left ( Where \; x,y\, \epsilon \, R \right )

  • Option 1)

    \frac{17}{8}

  • Option 2)

    -\frac{17}{8}

  • Option 3)

    \frac{19}{8}

  • Option 4)

    \frac{21}{8}

 

Answers (1)

best_answer

Since complex numbers are equal so ,

4x=3 and 3x-2y=-1

\Rightarrow \: x=\frac{3}{4} and \Rightarrow \: y=\frac{13}{8}

\therefore x+y=\frac{3}{4}+\frac{13}{8}=\frac{19}{8}

\therefore Option (C)

 

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)

\frac{17}{8}

This is incorrect

Option 2)

-\frac{17}{8}

This is incorrect

Option 3)

\frac{19}{8}

This is correct

Option 4)

\frac{21}{8}

This is incorrect

Posted by

prateek

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