Question:
Curve generated by a point on the circumference of a circle which rolls along a straight line is termed:
Curve generated by a point on the circumference of a circle which rolls along a straight line is termed:
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In physics and engineering, cycloids are used to model phenomena like the motion of wheels and the design of gear teeth.
Updated On: Feb 3, 2026
- Hypocycloid
- Epicycloid
- Cycloid
- Trochoid
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The Correct Option is C
Solution and Explanation
Step 1: Understanding cycloid.
A cycloid is the curve traced by a point on the circumference of a circle as the circle rolls along a straight line. This curve is commonly used in mechanical applications such as gear teeth.
Step 2: Analyzing the options.
(A) Hypocycloid: A hypocycloid is the curve traced by a point on the circumference of a circle rolling inside another circle, not along a straight line.
(B) Epicycloid: An epicycloid is the curve traced by a point on the circumference of a circle rolling outside another circle, not along a straight line.
(C) Cycloid: Correct — A cycloid is the curve generated by a point on the circumference of a circle rolling along a straight line.
(D) Trochoid: A trochoid is a broader class of curves that includes both cycloids and other types of curves traced by points on circles rolling along a straight line.
Step 3: Conclusion.
The correct answer is (C) Cycloid, as it is the curve generated by a point on the circumference of a circle rolling along a straight line.
A cycloid is the curve traced by a point on the circumference of a circle as the circle rolls along a straight line. This curve is commonly used in mechanical applications such as gear teeth.
Step 2: Analyzing the options.
(A) Hypocycloid: A hypocycloid is the curve traced by a point on the circumference of a circle rolling inside another circle, not along a straight line.
(B) Epicycloid: An epicycloid is the curve traced by a point on the circumference of a circle rolling outside another circle, not along a straight line.
(C) Cycloid: Correct — A cycloid is the curve generated by a point on the circumference of a circle rolling along a straight line.
(D) Trochoid: A trochoid is a broader class of curves that includes both cycloids and other types of curves traced by points on circles rolling along a straight line.
Step 3: Conclusion.
The correct answer is (C) Cycloid, as it is the curve generated by a point on the circumference of a circle rolling along a straight line.
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