Question:medium

Let the curve be represented by $x=2(\cos t+t\sin t)$, $y=2(\sin t-t\cos t)$. Then normal at any point '$t$' of the curve is at a distance of _____ units from the origin.

Show Hint

Calculus Tip: This specific parametric curve is the "involute of a circle". A fascinating property of the involute of a circle is that its normal is always tangent to the base circle, meaning the normal's distance from the origin is always exactly equal to the base circle's radius.
Updated On: Apr 23, 2026
  • 1
  • 0
  • 2
  • 4
Show Solution

The Correct Option is C

Solution and Explanation

Was this answer helpful?
0