The normal to the curve x=a( + ) , y=a( - ) at any point 'θ' is such that
Mathematics · JEE Main · NTA Exams — Limit, Continuity and Differentiability
The normal to the curve \(x=a(\cos \theta+\theta \sin \theta)\), \(y=a(\sin \theta-\theta \cos \theta)\) at any point 'θ' is such that
- It makes angle \(\frac{\pi}{2}+\theta\) with the x-axis
- It passes through the origin
- It is at a constant distance from the origin
- It passes through \(\left(2 \frac{\pi}{2},-2\right)\)
Answer
(B) It passes through the origin
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