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If one root of 18x^(3) + 81x^(2) + 121x...

If one root of `18x^(3) + 81x^(2) + 121x + 60 = 0 ` is equal to half of the sum of the other two roots then the roots are

A

`-1, `1/3, 2

B

`-3//2,` -4/3, -5/3

C

`-1`, 1/2, 2

D

2,2 - 1

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DIPTI PUBLICATION ( AP EAMET)-THEORY OF EQUATIONS-EXERCISE 1A
  1. If two of the roots of 2x^(3) - 3x^(2) - 3x + 2 = 0 are differ by 3 t...

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  2. The difference between two roots of the equation x^(3) - 13x^(2) + 15x...

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  3. If one root of 18x^(3) + 81x^(2) + 121x + 60 = 0 is equal to half of...

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  4. If the product of two of 6x^(4) - 29x^(3) + 40x^(2) - 7x - 12 = 0 is ...

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  5. If the product of two of the roots of x^(4) - 5x^(3)+5x^(2) + 5x - 6 =...

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  6. The roots of x^(4) - 12x^(3) + 34x^(2) - 12x + 1 = 0 are

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  7. The condition that the roots of x^(3)+ 3px^(2) + 3qx + r = 0 may be i...

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  8. The condition that the roots of x^(3) + 3px^(2) + 3qx + r = 0 may be ...

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  9. The condition that the roots of x^(3) -bx^(2) + cx - d = 0 are in geo...

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  10. The condition that the roots of x^(3) + 3px^(2) + 3qx + r = 0 may be ...

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  11. If the roots of 2x^(3) - 3x^(2) + kx + 6 = 0 are in A.P then k =

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  12. If the roots 4x^(3) - 12x^(2) + 11x + k = 0 are in A.P. then k =

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  13. If the roots of x^(3) - kx^(2) + 14x - 8 = 0 are in G.P. then k =

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  14. If the roots of x^(3) - 14x^(2) + 56x + k = 0 are in G.P. then k =

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  15. If the roots of kx^(3) -18x^(2) -36x + 8 =0 are in H.P, then k is

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  16. Find the condition that x^3-px^2+qx-r=0 may have the sum of its roots ...

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  17. The condition that the x^(3) -px^(2) + qx -r = 0 may be the sum of th...

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  18. If one root of x^(3) + 3x^(2) + 5x + k = 0 may be the sum of the other...

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  19. Let A = {:|(2,e^(ipi)),(i^(2),i^(2012))|,C =(d)/(dx) ((1)/(x))|(x=1),...

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  20. The condition that the product of two of the roots x^3 +px^2 +qx ...

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