1. In the given figure. a smaller circle touches a larger circle at P and passes through its centre 0. PR is a chord of length 34 cm. then what is the length (in cm) of PS?
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By: anil on 05 May 2019 01.47 am
In the given figure, in $$ riangle$$ PSO and $$ riangle$$ PRQ => $$angle PSO=angle PRQ$$ (angles of the semi circle) and $$angle SPO=angle RPQ$$ (common angle) => $$ riangle$$ PSO $$sim$$ $$ riangle$$ PRQ Thus, $$frac{PS}{PR}=frac{OP}{QP}$$ => $$frac{PS}{34}=frac{1}{2}$$ => $$PS=frac{34}{2}=17$$ cm => Ans - (B)
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