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Mathematics - Probability Question with Solution | TestHub

MathematicsProbabilityGeneral (Event SS, Definitions, Odd against/Favour)Medium2 minQB

MathematicsMediumsingle choice

If a is an integer lying in the closed interval [-5 ,30] , then the probability that the graph of $y = x^{2} + 2 (a + 4) x - 5 a + 64$ is strictly above the x-axis is

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Answer:

Solution:

$(a + 4)^{2} + 5 a - 64 < 0 \Rightarrow - 16 < a < 3$

$∴ probability = \frac{18}{36} = 2/9$

Stream:JEESubject:MathematicsTopic:ProbabilitySubtopic:General (Event SS, Definitions, Odd against/Favour)

⏱ 2mℹ️ Source: QB

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