Question
Download Solution PDFDirections: In the following question, a statement is given followed by two conclusions numbered I and II. You have to decide which of the conclusion(s) follow(s) the statement. Give your answer as
Statement : A and B are extremities of a diameter of a circle. P and Q are any two points on the circle such that APBQ is a quadrilateral.
Conclusions :
I) ∠APB = ∠AQB
II) ∠PAQ = ∠QBP
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
A and B are extremities of the diameter of a circle. P and Q are any two points on the circle such that APBQ is a quadrilateral.
Formula used:
Angle in a semicircle is a right angle (i.e., ∠APB = ∠AQB = 90° if P and Q lie on the circle).
Calculation:
⇒ Since AB is the diameter, both ∠APB and ∠AQB subtend the semicircle.
⇒ ∠APB = ∠AQB = 90°
⇒ Hence, Conclusion I is true.
⇒ However, angles ∠PAQ and ∠QBP are not necessarily equal as they depend on the positions of P and Q on the circle.
⇒ So, Conclusion II is not necessarily true.
∴ Only Conclusion I follows.
Last updated on Jul 11, 2025
-> The AP Police Final Merit List 2025 has been released for the final examination which was held on 1st June 2025.
-> The physical test was conducted from 30th December 2024 to 1st February 2025.
-> AP Police Constable notification has been released for 6100 vacancies.
-> Candidates who are 12th Pass are eligible to appear for the examination. They can check the revised eligibility criteria to apply correctly.
-> The selection of the candidates depends on Preliminary Exam, Physical Measurement Test (PMT), Physical Efficiency Test (PET), Final exam, and Final Selection.
-> The selected candidates for the post of Constable will get an AP Police Constable Salary range between Rs. 25,220 - 80,910.
-> Candidates can check the AP Police Constable Previous Year Papers for the effective preparation. You can also attempt the AP Police Constable Test Series to get an experience of the actual examination.