Inequality a+ib>c+id can be explained only when:

  • Option 1)

    b=0,\:\:c=0

  • Option 2)

    b=0,\:\:d=0

  • Option 3)

    a=0,\:\:c=0

  • Option 4)

    a=0,\:\:d=0

 

Answers (1)

As we learnt in 

Purely Real Complex Number -

z=x+iy, x\epsilon R, \boldsymbol{y=0}

& i2=-1

- wherein

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

 

 Two complex numbers can't be compared unless their imaginary parts are zero.

So b=d=0


Option 1)

b=0,\:\:c=0

Incorrect

Option 2)

b=0,\:\:d=0

Correct

Option 3)

a=0,\:\:c=0

Incorrect

Option 4)

a=0,\:\:d=0

Incorrect

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