Theory of Machine
The velocity of sliding of meshing gear teeth is (Where ω₁ and ω₂ are angular velocities of meshing gears and ‘y’ is distance between point of contact and the pitch point)

(ω₁ × ω₂) y
(ω₁ + ω₂) y
(ω₁/ω₂) y
(ω₁ + ω₂)/y

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Theory of Machine
Higher pairs are those which have

Two elements that permit relative motion
Point or line contact between the two elements when in motion
Elements of pairs not held together mechanically
Surface contact between the two elements when in motion

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