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If `alpha and beta ` are the roots of the equation `3x^(2)-5x+3 =0` , then the quadratic equation whose roots are `alpha^(2)beta and alphabeta^(2)` is :

A

`3x^(2)-5x+3=0`

B

`3x^(2)-8x+5=0`

C

`3x^(2)-8x+3=0`

D

`3x^(2)-5x-3=0`

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Knowledge Check

  • If alpha and beta are the roots of the equation x^(2)-3x+2=0, Find the quadratic equation whose roots are -alpha and -beta :

    A
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    B
    `x^(2)+3x+2=0`
    C
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    D
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    A
    `2x^2-25x+82=0`
    B
    `2x^2+25x+82=0`
    C
    `x^2-25x+82=0`
    D
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  • If alpha , beta are the roots of the quadratic equation ax^(2) + bx + c = 0 , then the quadratic equation whose roots are alpha^(3) , beta^(3) is

    A
    `a^(3) y^(3) + (b^(3) - 3abc) y + c^(3) = 0`
    B
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    C
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    D
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