Home
Class 12
MATHS
If ax^2 + bx + c = 0 and bx^2 + cx+a= 0 ...

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

A

1

B

2

C

3

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Similar Questions

Explore conceptually related problems

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

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

ax^2 + bx + c = 0(a > 0), has two roots alpha and beta such alpha 2, then

ax^2 + bx + c = 0(a > 0), has two roots alpha and beta such alpha 2, then

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