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Mathematics - Permutation & Combination Question with Solution | TestHub

MathematicsPermutation & CombinationMiscellaneous/MixedMedium2 minQB

MathematicsMediumsingle choice

If the equation $a x^{2} - b x + 12 = 0$ where a and b are +ve integers not exceeding 10, has roots both greater than 2 then the number of ordered pair $(a, b)$ is

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Answer:

Solution:

Imposing the conditions; $\frac{b}{2 a} > 2, b^{2} \geq 48 a$ and $f (2)$ i.e., $2 a - b + 12 > 0$ there is only one solution for $(a, b) \equiv (1, 7)$

Stream:JEESubject:MathematicsTopic:Permutation & CombinationSubtopic:Miscellaneous/Mixed

⏱ 2mℹ️ Source: QB

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