Home
Class 12
MATHS
If x^(2) + ax + b = 0 and x^(2) + bx + ...

If `x^(2) + ax + b = 0 and x^(2) + bx + a = 0` have a common root, then the numberical value of a + b is :

A

1

B

0

C

`-1`

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • QUADRATIC EQUATIONS

    MODERN PUBLICATION|Exercise MULTIPLE CHOICE QUESTIONS (LEVEL-II)|61 Videos

  • QUADRATIC EQUATIONS

    MODERN PUBLICATION|Exercise LATEST QUESTIONS FROM AIEEE/JEE EXAMINATIONS|13 Videos

  • PROBABILITY

    MODERN PUBLICATION|Exercise RECENT COMPETITIVE QUESTIONS (QUESTIONS FROM KARNATAKA CET & COMED )|11 Videos

  • REAL NUMBERS

    MODERN PUBLICATION|Exercise Multiple Choice Questions (Level-II)|8 Videos

Similar Questions

Explore conceptually related problems

If the equations : x^(2) + 2x + 3 = 0 and ax^(2) + bx + c =0 a, b,c in R, Have a common root, then a: b : c is :

If x^(2)+4ax+3=0 and 2x^(2)+3ax-9=0 have a common root, the values of 'a' are

If the equations x^(2)+a x+b=0 and x^(2)+b x+a=0(a ne b) have a common root, then a+b=

if x^3+ax+1=0 and x^4+ax^2+1=0 have common root then the exhaustive set of value of a is

If ax^2 + bx + c = 0 and bx^2 + cx+a= 0 have a common root and a!=0 then (a^3+b^3+c^3)/(abc) is

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

If the equation : x^(2 ) + 2x +3=0 and ax^(2) +bx+ c=0 a,b,c in R have a common root then a: b: c is :

If the equation x^2+2x+3=0 and ax^2+bx+c=0 have a common root then a:b:c is

The quadratic equations : x^(2) - 6x + a = 0 and x^(2) - cx + 6 = 0 have one root in common. The other roots of the first and second equations are integers in the ratio 4 : 3. then the common root is :

If x^2+3x+5=0 a n d a x^2+b x+c=0 have common root/roots and a ,b ,c in N , then find the minimum value of a+b+ c dot