CAT Exam  >  CAT Questions  >   Two tangents are drawn from a point P on the... Start Learning for Free
Two tangents are drawn from a point P on the circle with centre at O, touching the circle at point Q and T respectively. Another tangent AB touches the circle at point S. If angle QPT = 55°, find the angle AOB =?
  • a)
    1250
  • b)
    62.50
  • c)
    97.50
  • d)
    950
Correct answer is option 'B'. Can you explain this answer?
Most Upvoted Answer
Two tangents are drawn from a point P on the circle with centre at O,...
since PQ and PT are tangent on circle so ∠PQO = ∠PTO = 90
In quadrilateral PQOT ∠PQO + ∠PTO + ∠QOT + ∠TPQ = 360
90 + 90 + ∠00T + 55 = 360
∠QOT = 125
since AB touches the circle hence OA and OB are the angle bisector of ∠QOS and ∠TOS respectively.
So ∠AOB = 1/2 ∠QOT = 125/2 = 62.5
Hence, the correct option is (b).
Attention CAT Students!
To make sure you are not studying endlessly, EduRev has designed CAT study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in CAT.
Explore Courses for CAT exam

Top Courses for CAT

Two tangents are drawn from a point P on the circle with centre at O, touching the circle at point Q and T respectively. Another tangent AB touches the circle at point S. If angle QPT = 55°, find the angle AOB =?a)1250b)62.50c)97.50d)950Correct answer is option 'B'. Can you explain this answer?
Question Description
Two tangents are drawn from a point P on the circle with centre at O, touching the circle at point Q and T respectively. Another tangent AB touches the circle at point S. If angle QPT = 55°, find the angle AOB =?a)1250b)62.50c)97.50d)950Correct answer is option 'B'. Can you explain this answer? for CAT 2024 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about Two tangents are drawn from a point P on the circle with centre at O, touching the circle at point Q and T respectively. Another tangent AB touches the circle at point S. If angle QPT = 55°, find the angle AOB =?a)1250b)62.50c)97.50d)950Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Two tangents are drawn from a point P on the circle with centre at O, touching the circle at point Q and T respectively. Another tangent AB touches the circle at point S. If angle QPT = 55°, find the angle AOB =?a)1250b)62.50c)97.50d)950Correct answer is option 'B'. Can you explain this answer?.
Solutions for Two tangents are drawn from a point P on the circle with centre at O, touching the circle at point Q and T respectively. Another tangent AB touches the circle at point S. If angle QPT = 55°, find the angle AOB =?a)1250b)62.50c)97.50d)950Correct answer is option 'B'. Can you explain this answer? in English & in Hindi are available as part of our courses for CAT. Download more important topics, notes, lectures and mock test series for CAT Exam by signing up for free.
Here you can find the meaning of Two tangents are drawn from a point P on the circle with centre at O, touching the circle at point Q and T respectively. Another tangent AB touches the circle at point S. If angle QPT = 55°, find the angle AOB =?a)1250b)62.50c)97.50d)950Correct answer is option 'B'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of Two tangents are drawn from a point P on the circle with centre at O, touching the circle at point Q and T respectively. Another tangent AB touches the circle at point S. If angle QPT = 55°, find the angle AOB =?a)1250b)62.50c)97.50d)950Correct answer is option 'B'. Can you explain this answer?, a detailed solution for Two tangents are drawn from a point P on the circle with centre at O, touching the circle at point Q and T respectively. Another tangent AB touches the circle at point S. If angle QPT = 55°, find the angle AOB =?a)1250b)62.50c)97.50d)950Correct answer is option 'B'. Can you explain this answer? has been provided alongside types of Two tangents are drawn from a point P on the circle with centre at O, touching the circle at point Q and T respectively. Another tangent AB touches the circle at point S. If angle QPT = 55°, find the angle AOB =?a)1250b)62.50c)97.50d)950Correct answer is option 'B'. Can you explain this answer? theory, EduRev gives you an ample number of questions to practice Two tangents are drawn from a point P on the circle with centre at O, touching the circle at point Q and T respectively. Another tangent AB touches the circle at point S. If angle QPT = 55°, find the angle AOB =?a)1250b)62.50c)97.50d)950Correct answer is option 'B'. Can you explain this answer? tests, examples and also practice CAT tests.
Explore Courses for CAT exam

Top Courses for CAT

Explore Courses
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
10M+ students study on EduRev