Q. Find the Length of PQ if a tangent PQ at a point P of a circle of radius 5 cm meets a line through the centre O at a point Q so that OQ = 12 cm
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Given,
Radius OP=5cm and OQ=12cm
PQ is the tangent to the circle.
∠OPQ=900
So,by Pythagoras theorem we get,
PQ2=OQ2−OP2
=>PQ2=122−52
=>PQ2=144−25
=>PQ2=119
=>PQ=119cm
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