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. Length PQ is:
(A) 12 cm (B) 13 cm (C) 8.5 cm (D) √119cm
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Step-by-step explanation:
From diagram,
OQ=12cm, OP=5cm.
We knowvthat:
∆POQ is right angled at P.
By Pythagorean triplet:
OQ²=OP²+PQ²
PQ=√OQ²-OP²
=> √12²-5²
=> √144-25
=> √119.
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