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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
Answer :
\( PQ \ = \ \sqrt{OQ^2 \ - \ OP^2} \ \)
\( = \ \sqrt{12^2 \ - \ 5^2} \ \)
\( = \ \sqrt{144 \ - \ 25} \
\ \)
\( = \ \sqrt{119} \)cm
So, (D) option is correct