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Each of a and b can take values 1 or 2 w...

Each of a and b can take values 1 or 2 with equal probability. The probability that the equation `ax^(2)+bx+1=0` has real roots, is equal to-

A

`(1)/(2)`

B

`(1)/(4)`

C

`(1)/(8)`

D

`(1)/(16)`

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Knowledge Check

  • If a, bin{1,2,3} and the equation ax^(2)+bx+1=0 has real roots, then

    A
    `ageb`
    B
    `aleb`
    C
    number of possible ordered pairs (a,b) is 3
    D
    `altb`

  • The roots of the equation ax^2+bx+c=0 are equal when-

    A
    `b^2-4aclt0`
    B
    `b^2-4acgt0`
    C
    `b^2-4acge0`
    D
    `b^2-4ac=0`

  • If 2a+3b+6c=0 then the equation ax^2+bx+c=0 has in the interval (0,1)

    A
    a)at least one root
    B
    b)at most one root
    C
    c)no root
    D
    d)none of these

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    If 2a+3b+6c=0 , show that the equation ax^(2)+bx+c=0 has at least one root between 0 and 1.

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