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If a, b are the roots of the equation x^...

If a, b are the roots of the equation `x^(2) - px +q = 0`, then find the equation which has `a/b` and `b/a` as its roots.

Text Solution

Verified by Experts

The correct Answer is:
`qx^(2) - (p^(2) - 2q)x + q = 0`
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Knowledge Check

  • If p, q are the roots of the equation x^(2)+px +q=0 , then

    A
    p = 1, q = -2
    B
    p = 0, q = 1
    C
    p = -2, q = 0
    D
    p = -2, q = 1

  • If p and q are the roots of the equation x+ px + q= 0 , then

    A
    `p=1 and q= -2`
    B
    `p= 0 and q= 1`
    C
    `p = -2 and q= 0`
    D
    `p = -2 and q= 1`

  • If p and q are the roots of the equation x^2+px+q=0 , then :

    A
    p = 1 or 0
    B
    p = -2 or 0
    C
    p = -2
    D
    p = 1

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    If the roots of the equation x^(2)-px+q=0 differ by unity then

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    If p and q are the roots of the equation x^2+px+q=0 , then :

    if the difference of the roots of the equation x^(2)-px +q=0 is unity.

    If secalpha, "cosec"alpha are roots of equation x^(2) + px + q=0 , then

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