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If the equation (K^2-5K+6)x^2+(K^2-3k+2)...

If the equation `(K^2-5K+6)x^2+(K^2-3k+2)x+(K^2-4)=0` has more than two roots, then the value of K is-

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Knowledge Check

  • If x^2-kx+k+2=0 has equal roots, then the value of k will be -

    A
    `2+sqrt20`
    B
    `2-sqrt20`
    C
    `2+sqrt12`
    D
    `2-sqrt12`

  • If the roots of the equation 5x^2-7x-k=0 are reciprocal to one another, then which of the following is the value of k?

    A
    -5
    B
    `-1/5`
    C
    5
    D
    `1/5`

  • If f(x)=3x^(2)+k|sin x| is differentiable at x=0 then the value of k is-

    A
    `1`
    B
    `-1`
    C
    0
    D
    `-3`

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    The number of values of k for which the equation x^(2)-3x+k=0 has two distinct roots lying in the interval ( 0 , 1 ) are

    If the two circles 2x^(2) +2y^(2) -3x+6y+k=0 and x^(2) +y^(2) -4x +10y +16=0 cut orthogonally, then the vlaue of k is-

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