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  • I have a doubt, kindly clarify. A complex number z is such that sum of its real and imaginary parts is zero, if 5 is added to imaginary part, thenimaginary part becomes 8, then z equals

A complex number z is such that sum of its real and imaginary parts is zero, if 5 is added to imaginary part, then imaginary part becomes 8, then z equals

  • Option 1)

    -3+3i

  • Option 2)

    -2+2i

  • Option 3)

    1-i

  • Option 4)

    4-4i

 

Answers (1)

best_answer

Let z=x+iy then Re(z)=x and Im(z)=y 

According to the given conditions \rightarrow

x+y=0  ----------(1)

y+5=8 ----------(2)

From (1) and (2) : x=-3, y=3

\therefore z=-3+3i

\therefore Option (A)

 

Definition of Complex Number -

z=x+iy, x,y\epsilon R  & i2=-1

- wherein

Real part of z = Re (z) = x & Imaginary part of z = Im (z) = y

 

 

 


Option 1)

-3+3i

This is correct

Option 2)

-2+2i

This is incorrect

Option 3)

1-i

This is incorrect

Option 4)

4-4i

This is incorrect

Posted by

Himanshu

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