Question

If p and q are the roots of $x^2+px+q=0$, then

• A. p =1
• B. p = 1 or 0
• C. p = - 2
• D. p = -2 or 0

Answer 1

The correct option is B p = 1 or 0

Since p and q are the roots of given equation $x^2+px+q=0$
then $p+q=-p\Rightarrow q=-2p$
and $pq=q\Rightarrow p=1$
So, when p =1, then q =-2
Again, when q =0, then p = 0 hence,
p=1, 0 and q=-2, 0
Thus, option (b) is most appropriate