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Statement I The equation 3x^(2)+4ax+b=0 ...

Statement I The equation `3x^(2)+4ax+b=0` has atleast one root in (o,1), if 3+4a=0.
Statement II `f(x)=3x^(2)+4x+b` is continuos and differentiable in (0,1)

A

Statement I is true, Statement II is also true, Statement II is the correct explanation of statement I.

B

Statement I is true, Statement II is also true, Statement II is not the correct explanation of Statement I.

C

Statement I is true, Statement II is false

D

Statement I is false, Statement II is true

Text Solution

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The correct Answer is:
D
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Find the condition if the equation 3x^(2)+4ax+b=0 has at least one root in (0,1).

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Knowledge Check

  • Statement-1: If a, b, c in R and 2a + 3b + 6c = 0 , then the equation ax^(2) + bx + c = 0 has at least one real root in (0, 1). Statement-2: If f(x) is a polynomial which assumes both positive and negative values, then it has at least one real root.

    A
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    B
    Statement-1 is True, Statement-2 is True, Statement-2 is not a correct explanation for Statement-1.
    C
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    D
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    A
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    B
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    C
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    D
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    A
    Statement I is true, Statement II is also true, Statement II is the correct explanation of statement I.
    B
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    C
    Statement I is true, Statement II is false
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