If k lies between roots - and - of a quadratic Equation fx and a - 0- then

The correct option is B f(k) a gt;0 ∴f(k) lt;0 ...

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Standard X

Mathematics

Quadratic Equations

If k lies b...

Question

If $k$ lies between roots $α$ and $β$ of a quadratic Equation $f (x)$ and $a > 0$ , then

f (k) > 0

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f (k) < 0

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f (k) = 0

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None of the above

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Solution

The correct option is B $f (k) < 0$
$a > 0$
$∴ f (k) < 0$

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If k lies between roots α and β of a quadratic Equation f(x) and a>0, then

The correct option is B f(k)<0a>0∴f(k)<0

If $k$ lies between roots $α$ and $β$ of a quadratic Equation $f (x)$ and $a > 0$ , then

The correct option is B $f (k) < 0$
$a > 0$
$∴ f (k) < 0$