Mathematics - Application of Derivative Question with Solution | TestHub

MathematicsApplication of DerivativeTangents & NormalsMedium2 minPYQ_2017

MathematicsMediumsingle choice

Line joining the points $(0, 3)$ and $(5, - 2)$ is a tangent to the curve $y = \frac{a x}{1 + x}$ , then

Answer:

Solution:

Equation of line joining the points $(0, 3)$ and $(5, - 2)$ is $y = 3 - x$ .

If this line is tangent to $y = \frac{a x}{(x + 1)}$ , then

$(3 - x) (x + 1) = a x$ should have equal roots.

Thus, $(a - 2)^{2} + 12 = 0$

$\Rightarrow$ No value of $a \Rightarrow a \in ϕ$

Stream:BITSATSubject:MathematicsTopic:Application of DerivativeSubtopic:Tangents & Normals

⏱ 2mℹ️ Source: PYQ_2017

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