Premium Online Home Tutors
3 Tutor System
Starting just at 265/hour

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

NCERT solutions of related questions for Circles

NCERT solutions of related chapters class 10 maths

NCERT solutions of related chapters class 10 science