Mathematics - Application of Derivative Question with Solution | TestHub

MathematicsApplication of DerivativeMaxima-MinimaMedium2 min

MathematicsMediumsingle choice

Point on the curve $y^{2} = 4 (x - 10)$ which is nearest to the line $x + y = 4$ may be

Answer:

Solution:

$P (x_{0}, y_{0})$ : pt on curve nearest to line. Normal at $P$ is perpendicular to the line Normal at $P$ has slope " $- \frac{y _{0}}{2}$ "

$∴ y_{0} = 2 and x_{0} = 11; P (11, - 2)$

Stream:JEESubject:MathematicsTopic:Application of DerivativeSubtopic:Maxima-Minima

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