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 [AIEEE 2005]

Correct Answer is : it is at a constant distance from the origin

it makes an angle \frac{\pi}{2}+\theta with the x-axis

it passes through (a \frac{\pi}{2},-a)

it is at a constant distance from the origin

Application of Derivatives Part 1

Section: Mathematics

Question : 88 of 100

Marks: +1, -0

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

[AIEEE 2005]

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