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  • Need clarity, kindly explain! The complex number z is such that its real part is thrice the imaginary part, if both real and imaginary parts are increased by 1 then real partbecomes double of imaginary part . Then zequals

The complex number z is such that its real part is thrice the imaginary part, if both real and imaginary parts are increased by 1 then real part becomes double of imaginary part . Then z equals

  • Option 1)

    6+2i

  • Option 2)

    -3-i

  • Option 3)

    3+i

  • Option 4)

    4+2i

 

Answers (1)

best_answer

Let z=x+iy then according to given conditions \rightarrow

x=3y ----------(1)

x+1=2(y+1) \Rightarrow x=2y+1 ----------(2)

From (1) and (2) we get 

x=3 and y=1

\therefore z=3+i

\therefore Option (C)

 

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)

6+2i

This is incorrect

Option 2)

-3-i

This is incorrect

Option 3)

3+i

This is correct

Option 4)

4+2i

This is incorrect

Posted by

prateek

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