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The equation of the smallest degree with...

The equation of the smallest degree with real coefficients having `1+i` as one of the roots is

A

`x^2+x+1=0`

B

`x^2-2x+2=0`

C

`x^2+2x+2=0`

D

`x^2+2x-2=0`

Text Solution

Verified by Experts

The correct Answer is:
B
We know that, imaginary roots of a quadratic equation occur in conjugate pair.
It is given, that, `1 + i` is one of the roots.
So, the other root will be `1 - i.`
Thus, the quadratic equation having roots `1 + i `and `1-i` is,
...
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