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The time period of a simple pendulum is ...

The time period of a simple pendulum is T. When the length is increased by 10 cm, its period is `T_(1)`. When the length is decreased by 10 cm, its period is `T_(2)`. Prove that the relation between `T,T_(1)andT_(2)` is `T_(1)^(2)+T_(2)^(2)=2T^(2)`.

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