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Lengths of Tangents Drawn from External Point

In the given ...

Question

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

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Solution

Using tangent secant segments theorem, we have

PQ² = PR × PS

⇒ (12)²= 8 × PS

⇒ PS = $\frac{144}{8}$ = 18 units

∴ RS = PS − PR = 18 − 8 = 10 units

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Lengths of Tangents Drawn from External Point

Standard X Mathematics

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