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For what real values of a do the roots o...

For what real values of `a` do the roots of the equation `x^2-2x-(a^2-1)=0` lie between the roots of the equation `x^2-2(a+1)x+a(a-1)=0.`

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Knowledge Check

  • Product of real roots of the equation x^(2)+|x|+9=0

    A
    is always positive
    B
    is always negative
    C
    does not exist
    D
    None of these

  • If alpha is one root of the equation 4x^(2)+2x-1=0 , then the other root is

    A
    `4alpha^(3)+3 alpha`
    B
    `4alpha^(3)-3 alpha`
    C
    `alpha^(3)+3 alpha`
    D
    `alpha^(3)-3 alpha`

  • If (1+i) is a root of the equation x^(2)-x+(1-i)=0 , then the other root is

    A
    `1-i`
    B
    `i`
    C
    `-i`
    D
    `2i`

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