Question
Download Solution PDFIn the given figure, if PA and PB are tangents to the circle with centre O such that ∠APB = 54°, then ∠OBA = ________.
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
PA and PB are tangents to the circle with center O such that ∠APB = 54°
Calculation:
We know that the radius and tangent are perpendicular at their point of contact.
So,
∠PAO = ∠PBO = 90°
So,
∠AOB = 360 - 54 - 180
⇒ 126°
Also AO = OB = Radius
So, ∠OAB = ∠OBA = 54/2
⇒ 27°
∴ The required answer is 27°
Last updated on Jul 8, 2025
-> The SSC CGL Notification 2025 for the Combined Graduate Level Examination has been officially released on the SSC's new portal – www.ssc.gov.in.
-> This year, the Staff Selection Commission (SSC) has announced approximately 14,582 vacancies for various Group B and C posts across government departments.
-> The SSC CGL Tier 1 exam is scheduled to take place from 13th to 30th August 2025.
-> Aspirants should visit ssc.gov.in 2025 regularly for updates and ensure timely submission of the CGL exam form.
-> Candidates can refer to the CGL syllabus for a better understanding of the exam structure and pattern.
-> The CGL Eligibility is a bachelor’s degree in any discipline.
-> Candidates selected through the SSC CGL exam will receive an attractive salary. Learn more about the SSC CGL Salary Structure.
-> Attempt SSC CGL Free English Mock Test and SSC CGL Current Affairs Mock Test.
-> The CSIR NET Exam Schedule 2025 has been released on its official website.