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If alpha and beta are the roots of the q...

If `alpha` and `beta` are the roots of the quadratic equation `ax^2 + bx + c = 0` , then evaluate `lim_(x->1/alpha)sqrt{(1-cos(cx^2 + bx + a))/(2(1- alphax)^2)}`

A

c(a-b)

B

`c/(2alpha)(1/alpha-1/beta)`

C

`1/beta(1/alpha-1/beta)`

D

`|(1/alpha-1/beta)c/(2alpha)|`

Text Solution

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The correct Answer is:
D
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Knowledge Check

  • If alpha and beta are roots of the equation ax ^(2) + bx + c, then find the value of the (1)/(alpha) + (1)/(beta).

    A
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    B
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    C
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    D
    `(- 2b)/(0)`

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    A
    `a^(3) y^(3) + (b^(3) - 3abc) y + c^(3) = 0`
    B
    `a^(3) y^(2) + (3abc - b^(3)) y - c^(3) = 0`
    C
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    D
    none of these

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    A
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