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If $c > 0$ and $4 a + c < 2 b$ , then $a x^{2} - b x + c = 0$ has a root in the interval

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$(2, 4)$

$(0, 2)$

$(0, 1)$

$(- 2, 0)$

answer is B.

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Detailed Solution

$f (x) = a x^{2} + b x + c$

$f (0) = c > 0 a n d f (2) = 4 a - 2 b + c < 0$

$f (0) f (2) < 0$

$\Rightarrow f (x) = 0$ has a root in $(0, 2)$

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