Question
Download Solution PDFIn a ΔPRQ, AB is drawn parallel to QR, cutting sides at A and B where length of PQ = 6 cm, length of QR = 8 cm and length of QA = 3 cm. What is the length of AB?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
PA = PQ - AQ = 6 - 3 = 3cm
Concept used:
In △PAB and △PQR
∠PAB = ∠PQR (corresponding angles)
and ∠P is common.
∴ △PAB ∼ △PQR ( AA similarity criterion)
Since corresponding sides are proportional,
\({AB\over QR}= {PA\over PQ}\:\)
\(AB={QR\times PA\over PQ}\)
Calculation:
AB = 4 cm
Hence, 'Option A' is the correct answer.
Last updated on Jul 19, 2025
-> The SSC CGL Notification 2025 has been announced for 14,582 vacancies of various Group B and C posts across central government departments.
-> CSIR NET City Intimation Slip 2025 has been released @csirnet.nta.ac.in.
-> The SSC CGL Tier 1 exam is scheduled to take place from 13th to 30th August 2025 in multiple shifts.
-> Aspirants should visit the official website @ssc.gov.in 2025 regularly for CGL Exam updates and latest announcements.
-> Candidates had filled out the SSC CGL Application Form from 9 June to 5 July, 2025. Now, 20 lakh+ candidates will be writing the SSC CGL 2025 Exam on the scheduled exam date. Download SSC Calendar 2025-25!
-> In the SSC CGL 2025 Notification, vacancies for two new posts, namely, "Section Head" and "Office Superintendent" have been announced.
-> 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, with the age limit varying from post to post.
-> The SSC CGL Salary structure varies by post, with entry-level posts starting at Pay Level-4 (Rs. 25,500 to 81,100/-) and going up to Pay Level-7 (Rs. 44,900 to 1,42,400/-).
-> Attempt SSC CGL Free English Mock Test and SSC CGL Current Affairs Mock Test.