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The slope of the normal to the curve
$x = a (\cos θ + θ \sin θ)$

$y = a (\sin θ - θ \cos θ)$ at any point $θ$ is

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tanθ

cotθ

−tanθ

−cotθ

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detailed solution

Correct option is A

dxdθ=a(−sinθ+θcosθ+sinθ) anddydθ=a(cosθ+θsinθ−cosθ) Hencedydx=(dydθ)/(dxdθ)=aθsinθaθcosθ=tanθ .

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The slope of the normal to the curve x=a(cos θ+θsinθ) y=a(sinθ−θcosθ) at any pointθ is

Remember concepts with our Masterclasses.

Ready to Test Your Skills?

free study material

The slope of the normal to the curve
$x = a (\cos θ + θ \sin θ)$

$y = a (\sin θ - θ \cos θ)$ at any point $θ$ is