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If the equations x^(2) + ax + bc = 0 and...

If the equations `x^(2) + ax + bc = 0` and `x^(2) + bx + ca = 0` have a common root, then their other roots satisfy the equation

A

`x^(2)+ (a+b+c)x+ab=0`

B

`x^(2)+cx+ab=0`

C

`x^(2)- cx+ab=0`

D

`x^(2)+ (a+b)x+ab=0`

Text Solution

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The correct Answer is:
B
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AAKASH SERIES-QUADRATIC EQUATIONS & EXPRESSIONS-EXERCISE-II
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  2. The number of solutions of the equation |x|= cos x is

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  3. If the equations x^(2) + ax + bc = 0 and x^(2) + bx + ca = 0 have a c...

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  4. If the equation x^(2)+bx-1=0 and x^(2)+x+b=0 have a common root differ...

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  5. If the equation x^(2 )+ 2x + 3 = 0 and ax^(2) +bx+c=0, a, b, c in R, h...

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

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

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

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

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

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

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

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

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

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  15. If the roots of x^(2) - 2kx + k^(2)-1 = 0 lie between -2 and 4 then th...

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

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  17. If x is real then the range of (x^(2)-2x+9)/(x^(2)+2x+9) is

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  18. x in R the least value of (x^(2)-6x+5)/(x^(2)+2x+1)

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

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

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