Join the Most Relevant JEE Main 2025 Test Series & get 99+ percentile! Join Now
Search any question & find its solution
Question: Answered & Verified by Expert
If $p$ and $q$ are the roots of the equation $x^2+p x+q=0$, then
MathematicsQuadratic EquationJEE MainJEE Main 2002
Options:
  • A
    p =1, q = -2
  • B
    p = 0, q = 1
  • C
    p = -2, q = 0
  • D
    p = -2, q = 1
Solution:
1868 Upvotes Verified Answer
The correct answer is:
p =1, q = -2
$p+q=-p$ and $p q=q \Rightarrow q(p-1)=0 \Rightarrow q=0$ or $p=1$
If $q=0$, then $p=0$. i.e. $p=q \quad \therefore p=1$ and $q=-2$

Looking for more such questions to practice?

Download the MARKS App - The ultimate prep app for IIT JEE & NEET with chapter-wise PYQs, revision notes, formula sheets, custom tests & much more.