Class 10 Exam  >  Class 10 Questions  >  A tangent PQ at a point P of a circle of radi... Start Learning for Free
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 such that OQ = 12 cm. Length PQ is
  • a)
    12 cm
  • b)
    13 cm
  • c)
    8.5 cm
  • d)
    √119 cm
Correct answer is option 'D'. Can you explain this answer?
Most Upvoted Answer
A tangent PQ at a point P of a circle of radius 5 cm meets a line thro...
In the given problem, PQ is a tangent to the circle at point P, and OP is the radius to the point of tangency. By the property of tangents, OP is perpendicular to PQ, i.e., OP ⟂ PQ.
Given:
  • Radius, OP = 5 cm
  • OQ = 12 cm
Since OP ⟂ PQ, triangle OPQ is a right-angled triangle with the right angle at P.
Applying the Pythagorean theorem in triangle OPQ:
OQ² = OP² + PQ²
Substituting the known values:
12² = 5² + PQ²
144 = 25 + PQ²
PQ² = 144 - 25 = 119
Therefore, PQ = √119 cm.
Explore Courses for Class 10 exam
Question Description
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 such that OQ = 12 cm. Length PQ isa)12 cmb)13 cmc)8.5 cmd)√119 cmCorrect answer is option 'D'. Can you explain this answer? for Class 10 2025 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about 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 such that OQ = 12 cm. Length PQ isa)12 cmb)13 cmc)8.5 cmd)√119 cmCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for Class 10 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for 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 such that OQ = 12 cm. Length PQ isa)12 cmb)13 cmc)8.5 cmd)√119 cmCorrect answer is option 'D'. Can you explain this answer?.
Solutions for 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 such that OQ = 12 cm. Length PQ isa)12 cmb)13 cmc)8.5 cmd)√119 cmCorrect answer is option 'D'. Can you explain this answer? in English & in Hindi are available as part of our courses for Class 10. Download more important topics, notes, lectures and mock test series for Class 10 Exam by signing up for free.
Here you can find the meaning of 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 such that OQ = 12 cm. Length PQ isa)12 cmb)13 cmc)8.5 cmd)√119 cmCorrect answer is option 'D'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of 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 such that OQ = 12 cm. Length PQ isa)12 cmb)13 cmc)8.5 cmd)√119 cmCorrect answer is option 'D'. Can you explain this answer?, a detailed solution for 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 such that OQ = 12 cm. Length PQ isa)12 cmb)13 cmc)8.5 cmd)√119 cmCorrect answer is option 'D'. Can you explain this answer? has been provided alongside types of 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 such that OQ = 12 cm. Length PQ isa)12 cmb)13 cmc)8.5 cmd)√119 cmCorrect answer is option 'D'. Can you explain this answer? theory, EduRev gives you an ample number of questions to practice 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 such that OQ = 12 cm. Length PQ isa)12 cmb)13 cmc)8.5 cmd)√119 cmCorrect answer is option 'D'. Can you explain this answer? tests, examples and also practice Class 10 tests.
Explore Courses for Class 10 exam
Signup to solve all Doubts
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
10M+ students study on EduRev