Theory of Machine Which is the false statement about the properties of instantaneous center?

The double center can be denoted either by O2 or O12, but proper selection should be made
The two rigid links which have no linear velocity relative to each other at this center have the same linear velocity to the third rigid link
At the instantaneous center of rotation, one rigid link rotates instantaneously relative to another for the configuration of mechanism considered
The two rigid links have no linear velocities relative to each other at the instantaneous center

Theory of Machine The sense of Coriolis component 2 ωv is same as that of the relative velocity vector v rotated at

45° in the direction of rotation of the link containing the path
45° in the direction opposite to the rotation of the link containing the path
90° in the direction of rotation of the link containing the path
180° in the direction opposite to the rotation of the link containing the path

cotθ = cosα
tanθ = ± cosα
sinθ = ± tanα
cosθ = sinα

3 Hz
6π Hz
6 Hz
3π Hz

Theory of Machine In gears, interference takes place when

Pitch of the gears is not same
The tip of a tooth of a mating gear digs into the portion between base and root circles
Gears do not move smoothly in the absence of lubrication
Gear teeth are undercut