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x^3+5x^2+px+q=0 and x^3+7x^2+px+r=0 have...

`x^3+5x^2+px+q=0` and `x^3+7x^2+px+r=0` have two roots in common. If their third roots are `gamma_1` and `gamma_2`, respectively, then `|gamma_1+gamma_2|`=

A

12

B

-12

C

2

D

-2

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x^(3)+5x^(2)+px+q=0 and x^(3)+7x^(2)+px+r=0 have two roots in common.If their third roots are gamma_(1) and gamma_(2) respectively,then | gamma_(1)+gamma_(2)|=

x^(2) + 5x^(2) + px + q =0 and x^(3) + 7x^(2) + px + r =0 , two roots in common. If their third roots are lambda_(1) and lambda_(2) respectively, then |lambda_(1) + lambda_(2)| is equal to:

Knowledge Check

  • x^(3)+5x^(2)+px+q=0 and x^(3)+7x^(2)+px+r=0 have two roos in common. If their third roots are gamma_(1) and gamma_(2) , respectively, then |gamma_(1)-gamma_(2)|=

    A
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    B
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    C
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    D
    `42`
  • IF the equations x^(3) + 5x^(2) + px + q = 0 and x^(3) + 7x^(2) + px + r = 0 have two roots in common, then the product of two non-common roots of two equations, is

    A
    35
    B
    -35
    C
    35 + p - q
    D
    35 + p + q - r
  • If alpha, beta are the roots of x^(2)-px +1=0 and gamma is a root of x^(2)+px+1=0 , then (alpha+gamma)(beta+gamma) is

    A
    0
    B
    1
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    D
    p
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