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JEE MATHEMATICS MCQ: QUADRATIC EQUATIONS

1 Easy
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Application +4 | -1
Let f(x)f(x) be a quadratic expression positive for all real xx. If g(x)=f(x)−f′(x)+f′′(x)g(x)=f(x)-f^{\prime}(x)+f^{\prime \prime}(x), then for any real xx
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Correct option: A
g(x)>0g(x)>0
Option A g(x)>0g(x)>0 is correct because the discriminant of the quadratic expression g(x)g(x) is negative, and the leading coefficient is positive.

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