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Let z_{1}= 2+3i, \, z_{2}= x-iy  . If z_{1}+z_{2}= 5+7i  then xy  equals  \left ( Where\; x,y\; \epsilon \, R \right )

  • Option 1)

    -10

  • Option 2)

    -11

  • Option 3)

    -12

  • Option 4)

    -14

 

Answers (1)

best_answer

z_{1}+z_{2}=\left ( 2+x \right )+i\left ( 3-y \right )=5+7i

using concept 713, we can write.

2 + x = 5  and  3 - y = 7

So,  x = 3 and y = -4

\therefore xy = -12

 

Addition of Complex Numbers -

(a+ib)+(c+id)=(a+c)+i(b+d)

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Option 1)

-10

This is incorrect

Option 2)

-11

This is incorrect

Option 3)

-12

This is correct

Option 4)

-14

This is incorrect

Posted by

divya.saini

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