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Question

The normal of the curve x=d(cos θ+θ sin θ)y=a(sin θθ cosθ) at any θ is such that

[DCE 2000; AIEEE 2005]


A

It makes a constant angle with x-axis

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B

It passes through the origin

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C

It is at a constant distance from the origin

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D
None of these
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Solution

The correct option is C

It is at a constant distance from the origin


y=a0+a1x+a2x2+anxn
y1=a1+2a2x+........+nanxn1
y2=2a2+6a3x+........+n(n1)anxn2
............................................
............................................
yn=n!an.

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