Physics
Planets do not twinkle because

They emit light of a constant intensity
Their distance from the earth does not change with time
They are nearer to earth and hence we receive a greater amount of light.
They are very far away from the earth resulting in decrease in intensity of light

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Physics
A cyclist leans inwards when he is negotiating a curve so that

No frictional force may be produced between the wheels and the axle
Necessary centripetal force may be available from the horizontal component of the normal reaction due to the track to maintain the curved motion.
His weight may be reduced
He may increase his speed

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