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If every pair from among the equations
`x^(2)+ax+bc = 0, x^(2)+bx+ ca = 0, x^(2)+cx+ab = 0` has a common root, then the sum of the three common roots is

A

abc

B

2abc

C

3(a+b+c)

D

(a+b+c)

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The correct Answer is:
D
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AAKASH SERIES-QUADRATIC EQUATIONS & EXPRESSIONS-EXERCISE-II
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  2. If the equation x^(2 )+ 2x + 3 = 0 and ax^(2) +bx+c=0, a, b, c in R, h...

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  3. If every pair from among the equations x^(2)+ax+bc = 0, x^(2)+bx+ ca...

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  4. If x^2 - cx +d =0 , x^2-ax +b=0 have one common root and secon...

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  5. If (x-2) is a common factor of the expressions x^(2)+ax+b and x^(2)+cx...

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  6. The harmonic mean of two numbers is -(8)/(5) and their geometric mea...

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  7. The number of values of a for which (a^(2) – 3a + 2)x^(2) + (a^(2) - 5...

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  8. The value of a so that the sum of the squares of roots of the equation...

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  9. If the roots of x^2+x+a=0 exceed , a then

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  10. Out of the two roots of x^(2) + (1 - 2lambda )x + (lambda^(2)-lambda-2...

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  11. IF both the roots of the quadratic equation x^2-2kx+k^2 +k -5=0 a...

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  13. If a, b, c are real if ax^(2)+ bx + c = 0 has two real roots alpha, be...

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  16. The set of values of x which satisfy 5x+2 lt 3x+8 and (x+2)/(x-1) lt 4...

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  17. The values of x for which (x-1)/(3x+4) lt (x-3)/(3x-2)

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  18. The solution set of the inequation 3^x+3^(1-x) -4 lt 0, is

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  19. IF sqrt(9x^2 + 6x +1) lt (2-x) then

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  20. The set of solutions satisfying both x^(2)+5x+6 ge 0 and x^(2)+3x-4 lt...

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