find the evolute of the curve x^2/3+y^2/3=a^2/3
Answer (1)
31st Dec, 2020
Dear Candidate,
I will try to solve your query. But be aware that we are limited by our answering options & you can search the internet for detailed step by step method for your better understanding.
Let X=a³ × cos³(alpha) & y=a³ × sin³(alpha) now differentiate both the terms wrt (alpha)
You will get dy/dx = -tan(alpha) & similarly
d²x/d²y = -sec²(alpha) × d(alpha)/dx
Radius of curvature = 3a(xy)
Thanks. Hope it helped you.
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