Complex Numbers And Quadratic Equations question 571

Question: If p and q are the roots of $ x^{2}+px+q=0, $ then [IIT 1995;AIEEE 2002; UPSEAT 2003;RPET 2001]

Options:

A) $ p=1,q=-2 $

B) $ p=-2,q=1 $

C) $ p=1,q=0 $

D) $ p=-2,q=0 $

Show Answer

Answer:

Correct Answer: A

Solution:

Obviously $ p+q=-p $ and $ pq=q\Rightarrow p=1 $ and $ q=-2 $ .