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

___________ is a curve generated by a point on the circumference of a

1.	___________ 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
Answer» C. Hypotrochoid

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The generating point is outside the generating circle for____________
The generating circle will be inside the directing circle for _________
Steps are given to find the normal and tangent to an epicycloid. Arrange the steps if C is the centre for generating circle and O is the centre of directing cycle. N is the point on epicycloid. i. Draw a line through O and D cutting directing circle at M. ii. Draw perpendicular to MN at N. We get tangent. iii. With centre N and radius equal to radius of generating circle, draw an arc cutting the locus of C at D. iv. Draw a line joining M and N which is normal.
Steps are given to find the normal and tangent for a cycloid. Arrange the steps if C is the centre for generating circle and PA is the directing line. N is the point on cycloid. i. Through M, draw a line MO perpendicular to the directing line PA and cutting at O. ii. With centre N and radius equal to radius of generating circle, draw an arc cutting locus of C at M. iii. Draw a perpendicular to ON at N which is tangent. iv. Draw a line joining O and N which is normal.
1, i; 2, iii; 3, iv; 4, ii
When the circle rolls along another circle inside it, the curve is called a __________
__________ is a curve generated by a point on the circumference of a circle which rolls without slipping on a straight line.
___________ is a curve generated by a point on the circumference of a circle, which rolls without slipping along another circle outside it.
___________ is a curve generated by a point fixed to a circle, within or outside its circumference, as the circle rolls along a straight line.

___________ 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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