#### Let be real and be a complex number. If    has two distinct roots on the line Re =1, then it is necessary that Option 1) Option 2) Option 3) Option 4)

As we learnt in

Definition of Complex Number -

& i2=-1

- wherein

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

Let z = 1 + iy

So that

and

Correct option is 2.

Option 1)

This an incorrect option.

Option 2)

This the correct option.

Option 3)

This an incorrect option.

Option 4)

This an incorrect option.