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Positive roots from the adjacent figure of $f (x)$
$a > 0 and Δ < 0$

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real and equal

real and distinct

imaginary roots

none of these

answer is C.

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Detailed Solution

$f (x)$ is positive

$\forall x \in R$

and it is minimum value is $\frac{4 a c - b^{2}}{4 a}$

Can’t say

$∴$ It has imaginary roots.

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