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The evolute of the involute of a circle is the circle itself.

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The evolute of the involute of a circle is the circle itself.

(a) True

(b) False

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This question is from Construction of Evolutes and Helix topic in chapter Curves used in Engineering Practice of Engineering Drawing

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Right answer is (a) True

For explanation: In the involute of a circle, the normal NM at any point N is tangent to the circle at the point of contact M. M is the centre of curvature at the point N. Hence, the evolute of the involute is the circle itself.

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