Question

Q1 Let : [a,b] → R2 be a regular plane curve with non-zero curvature k#0, and let B =y + k-1 N be the locus of the
centers of curvature of y.
(a) Prove that ß is regular provided that k'=0.
(b) Prove that each tangent l of ß intersects y at a right angle.
(c) Prove that each regular plane curve y:[a,b] → R2 has at most one evolute.
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Answer 1

Answer:

sry I don't know and no one is following me