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In the figure, ray PQ touches the circle...

In the figure, ray PQ touches the circle at point Q. If PQ =12, PR = 8, then find PS.

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The correct Answer is:
PS = 18
Ray PQ is tangent touching the circle at point Q and line PRS is secant intersecting the circle at points R and S.
`:. PQ^(2) = PR xx PS ` …( By tangent secant segments theorem )
`:. 12^(2) = 8 xx PS `
`:. PS = (12 xx 12)/( 8)`
`:. PS = 18`
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