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Why is kinetic energy not conserved in elastic collision of billiard balls, colliding for a short interval
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Kinetic energy is conserved in elastic collision
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In allen they gave ans. as correct in assertion-reason

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In reality, examples of perfectly elastic collisions are not part of our everyday experience. However, there are some examples of collisions in mechanics where the energy lost can be negligible. These collisions can be considered elastic, even though they are not perfectly elastic. 

Collisions of rigid billiard balls or the balls leads to negligible amount of energy. Hence, Kinetic energy is not conserved.

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