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Statement (I): Two  non-intersecting and non-parallel, i.e., non-coplanar, shafts connected by gears are called skew-bevel gears or spiral gears, and this type of gearing has a line contact the rotation of which about the axes generates the two hyperboloid pitch surfaces. Statement (II): A hyperboloid is a 3D surface formed by revolving a straight line about an axis (not in the same plane), such that every point on the line remains at a constant distance from the axis.

Statement (I): Two  non-intersecting and non-parallel, i.e., non-coplanar, shafts connected by gears are called skew-bevel gears or spiral gears, and this type of gearing has a line contact the rotation of which about the axes generates the two hyperboloid pitch surfaces. Statement (II): A hyperboloid is a 3D surface formed by revolving a straight line about an axis (not in the same plane), such that every point on the line remains at a constant distance from the axis. Correct Answer Both Statement I) and Statement II) are individually true but Statement II) is not the correct explanation of Statement I)

Skew Bevel Gears: The two non-intersecting and non-parallel i.e. non coplanar shafts are connected by gears and these gears are called skew bevel gears or spiral gears.

Either part of hyperboloids that has been arbitrarily cut out and joined together or parts cut out of their necks are used as the starting surfaces of skew bevel gears.                                      

A hyperboloid is a surface of revolution generated by a skew line revolving around the axis in another plane. the angle between them is constant the minimum distance between the line and the axis is the common perpendicular which is equal to radius of the gorge or throat of the hyperboloid, therefore, Statement I and Statement II are individually correct.

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