Home
Class 12
MATHS
The equations x^(2)+x+a=0andx^(2)+ax+1=0...

The equations `x^(2)+x+a=0andx^(2)+ax+1=0` have a common root-

A

For no value of a

B

for a single value of a

C

for two values of a

D

for exactly three values of a

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Similar Questions

Explore conceptually related problems

The equations x^2+x+a=0 and x^2+ax+1=0 have a common real root

If the equations 2x^(2)-7x+1=0 and ax^(2)+bx+2=0 have a common root, then

If a,b,c are in G.P., then the equations ax^2+2bx+c =0 and dx^2+2ex+f =0 have a common root if d/a,e/b,f/c are in

Find the condition if equations ax^2+bx+c =0 and x^2+2x+3 =0 have a common root. (a,b,cinR)

If the equation x^2-cx+d=0 and x^2-ax+b=0 have a common root,and the roots of the second equations are equal ,then prove that 2(b+d)=ac

Find those values of k for which the equations x^2-kx-21=0 and x^2-3kx-35=0 have a common root.

Prove that if the equations x^2+px+r=0 and x^2+rx+p=0 have a common root then either p=r or , 1+p+r=0.

If a ,b ,c be the sides of A B C and equations a x^2+b x+c=0 and 5x^2+12x+13=0 have a common root, then find /_Cdot

If the equation x^2+ax+bc=0" and " x^2+bx+ca=0 have a common root, then a+b+c =

If the equations x^2+ax+b=0 and x^2+bx+a=0 have one common root. Then find the numerical value of a+b.