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If P and Q are chosen-randomly from the ...

If P and Q are chosen-randomly from the set { 1, 2, 3, 4, 5, 6. 7, 8,9,10}, with replacement, determine the probability that the roots of the equation `x^2 + px + q = 0 `are real.

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Knowledge Check

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

    A
    `p^2 gt q`
    B
    `p^2 gt q^2`
    C
    `p^2 lt q`
    D
    `p^2 lt q^2`

  • 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`

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    If a digit is chosen at random from the digits 1,\ 2,\ 3,\ 4,\ 5,\ 6,\ 7,\ 8,\ 9 , then the probability that the digit is even, is (a) 4/9 (b) 5/9 (c) 1/9 (d) 2/3

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