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# 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 of PQ is : (A) $$12$$ cm (B) $$13$$ cm (C) $$8.5$$ cm (D) $$\sqrt{119}$$ cm

$$PQ \ = \ \sqrt{OQ^2 \ - \ OP^2} \$$
$$= \ \sqrt{12^2 \ - \ 5^2} \$$
$$= \ \sqrt{144 \ - \ 25} \ \$$
$$= \ \sqrt{119}$$cm

So, (D) option is correct