Question

a stone is tied to a string whirls in a horizontal cycle it flies off tangentially when the string breaks suddenly

Answer 1

When a stone is going around a circular path, the instantaneous velocity of stone is acting as tangent to the circle. When the string breaks, the centripetal force stops to act. Due to inertia, the stone continues to move along the tangent to circular path. So, the stone flies off tangentially to the circular path

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Answer 2

A stone tied and was revolved in a circular path will squire circular motion..

Since, as per the inertia of it get broken, it means that stone will try to move round and round but broken string will not support it and thus it moves straight.