Question

In the given figure, ray $$PQ$$ touches the circle at point $$Q$$. $$PQ = 12, PR = 8$$, find $$PS$$ and $$RS$$.

Solution

Using tangent secant segments theorem we have$$PQ^{2}=PR \times PS$$$$\Rightarrow (12)^{2}=8 \times PS$$$$\Rightarrow PS=\frac{144}{8}=18$$ units$$\therefore RS=PS-PR=18-8=10$$ unitsMaths

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