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___________ is a curve generated by a point on the circumference of a circle, which rolls without slipping along another circle outside it.

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___________ is a curve generated by a point on the circumference of a circle, which rolls without slipping along another circle outside it.

(a) Trochoid

(b) Epicycloid

(c) Hypotrochoid

(d) Involute

The question was asked in an interview for internship.

This is a very interesting question from Construction of Cycloidal Curves in section Geometrical Construction of Engineering Drawing

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The correct option is (b) Epicycloid

Explanation: Trochoid is curve generated by a point fixed to a circle, within or outside its circumference, as the circle rolls along a straight line. ‘Hypo’ represents the generating circle is inside the directing circle.

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