TS EAMCET · Maths · Application of Derivatives
The perpendicular distance from the origin to the normal drawn at any point on the curve \(x=a(\cos \theta+\theta \sin \theta), y=a(\sin \theta-\theta \cos \theta)\) is
- A \(a \theta\)
- B \(a^2\)
- C \(a\)
- D \(\frac{a}{\theta}\)
Answer & Solution
Correct Answer
(C) \(a\)
Step-by-step Solution
Detailed explanation
Given, \(x=a(\cos \theta+\theta \sin \theta)\) and \(y=a(\sin \theta-\theta \cos \theta)\) Now, \(\frac{d y}{d x}=\frac{d y}{d \theta} \cdot \frac{d \theta}{d x}=\tan \theta=\) Slope of tangent…
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