The normal to the curve x = a(cosθ + θsinθ), y = a(sinθ - θcosθ) at any point 'θ' is such that

it is at a constant distance from the origin

it makes a constant angle with the X-axis

The normal to the curve x = a(cosθ + θsinθ), y = a(sinθ -… — JEE Main 1983 Mathematics PYQ

1983

The normal to the curve

x = a(\cos\theta + \theta\sin\theta)

y = a(\sin\theta - \theta\cos\theta)

at any point '

\theta

' is such that

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Correct option: C

[1983]

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