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Graph of Quadratic Expression

If c > 0 and ...

Question

If $c > 0$ and the equation $3 a x^{2} + 4 b x + c = 0$ has no real root, then

2 a + c > b

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a + 2 c > b

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3 a + c > 4 b

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a + 3 c < b

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Solution

The correct option is C $3 a + c > 4 b$
$f (0) > 0$
$f (- 1) > 0 So, 3 a - 4 b + c > 0 3 a + c > 4 b$

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