Download the app

Questions  

If the quadratic equations, x2+bx+c=0 and bx2+cx+1=0 have a common root then

Remember concepts with our Masterclasses.

80k Users
60 mins Expert Faculty Ask Questions
a
b + c + 1 = 0
b
b2+c2−1=bc−b−c
c
b + c - 1 = 0
d
b2+c2+1=bc+b+c

Ready to Test Your Skills?

Check Your Performance Today with our Free Mock Tests used by Toppers!

detailed solution

Correct option is A

Equations x2+bx+c=0 and bx2+cx+1=0 have a common root.(bc−1)2=c−b2b−c2⇒b2c2+1−2bc=bc−b3−c3+b2c2⇒1+c3+b3=3bc⇒(1+c+b)c2+b2+1−b−c−bc=0⇒b+c+1=0 and c2+b2+1=c+b+bc

Talk to our academic expert!

+91

Are you a Sri Chaitanya student?

ctaimg

Create Your Own Test
Your Topic, Your Difficulty, Your Pace


Similar Questions

If the equation 2x27x+1=0 and ax2+bx+2=0 have a common root, then


whats app icon
phone icon