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If one root of the equation (k-1)x^(2)...

If one root of the equation `(k-1)x^(2) - 10x+ 3 = 0` is the reciprocal of the other, then the value of `k` is___________ .

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Knowledge Check

  • If one root of the equation 3x^(2)-5x+lambda=0 is the reciprocal of the other, then the value of lambda is

    A
    `(1)/(3)`
    B
    `-3`
    C
    3
    D
    1

  • If one root of a quadratic equation 6x^(2)- x-k= 0 is (2)/(3) , then the value of k is

    A
    2
    B
    `(1)/(9)`
    C
    `(8)/(3)`
    D
    1

  • If the equation 3x^(2)- 6x+ k= 0 has real and distinct roots, then the value of k is

    A
    `k le 3`
    B
    `k= 3`
    C
    `k gt 3`
    D
    `k lt 3`

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