Question
Download Solution PDFIf two chords AB and CD intersecting at point O and AO = (9x – 2) cm, BO = (2x + 2) cm, CO = 4x cm and DO = (7x – 2) cm, then, find the value of AO (x > 1)?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFWe know that,
AO × OB = OC × OD
⇒ (9x – 2) × (2x + 2) = (4x) × (7x – 2)
⇒ 18x2 – 4x + 18x – 4 = 28x2 – 8x
⇒ 10x2 – 22x + 4 = 0
⇒ 10x2 – 20x – 2x + 4 = 0
⇒ 10x(x – 2) – 2(x – 2) = 0
⇒ (x – 2)(10x – 2) = 0
⇒ x = 2 or x = 0.2
⇒ x = 2
AO = (9x – 2) = (18 – 2) = 16 cm
∴ The value of AO is 16cm.
Last updated on May 1, 2025
-> Commission has released the new Scheme & Syllabus for WBCS Exam 2025. The topics and exam pattern for prelims and mains is mentioned in the detailed syllabus.
-> The West Bengal Public Service Commission (WBPSC) will soon release the detailed WBCS Notification for various Group A, Group B, Group C & D posts.
-> Selection of the candidates is based on their performance in the prelims, mains, and interviews.
-> To crack the examination like WBCS, candidates need to check the WBCS Previous Year Papers which help you in preparation. Candidates can attempt the WBCS Test Series.