Mathematics - Quadratic Equation Question with Solution | TestHub

MathematicsQuadratic EquationMaximum & minimum valuesMedium2 minQB

MathematicsMediuminteger

If one root of $x^{2} - 4 a x + a + f (a) = 0$ is three times the other and if minimum value of $f (a)$ is $α$ , then $∣12 α ∣$ has a value

Answer:

Solution:

$θ$ and $3 θ \Rightarrow 4 θ = 4 a \Rightarrow θ = a$ and $a - 4 a^{2} + f (a) = 0$

$\Rightarrow f (a) = 3 a^{2} - a \Rightarrow f_{min}$ is $\frac{- 1}{12}$

Stream:JEESubject:MathematicsTopic:Quadratic EquationSubtopic:Maximum & minimum values

⏱ 2mℹ️ Source: QB

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