Question
Download Solution PDFखालील आकृतीत, केंद्र B आणि D असलेल्या वर्तुळांच्या त्रिज्या अनुक्रमे 4 सेमी आणि x सेमी आहेत. AC ही दोन्ही वर्तुळांची स्पर्शिका आहे. x चे मूल्य काढा.
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFदिलेल्याप्रमाणे:
लहान वर्तुळाची त्रिज्या (r) = 4 सेमी
AE = 6 सेमी; EC = 9 सेमी
वापरलेली संकल्पना:
स्पर्शबिंदूवर स्पर्शिका वर्तुळाच्या त्रिज्येसोबत काटकोन तयार करते.
अनुलंब विरुद्ध कोन समान आहे.
गणना:
AD ⊥ AC आणि BC ⊥ AC
∠DAE = ∠BCE = 90°
△DAE आणि △BCE मध्ये
∠DAE = ∠BCE = 90°
∠AED = ∠BEC (अनुलंब कोन)
△DAE ~ △BCE (AA समरूपतेने)
C.P.C.T द्वारे
⇒ AE/EC = AD/BC
⇒ 6/9 = 4/BC
⇒ BC = 36/6 = 6 सेमी
म्हणूनच योग्य उत्तर 6 सेमी आहे.
Last updated on Jul 2, 2025
-> The SSC CGL Notification 2025 has been released on 9th June 2025 on the official website at ssc.gov.in.
-> The SSC CGL exam registration process is now open and will continue till 4th July 2025, so candidates must fill out the SSC CGL Application Form 2025 before the deadline.
-> This year, the Staff Selection Commission (SSC) has announced approximately 14,582 vacancies for various Group B and C posts across government departments.
-> TNPSC Group 4 Hall Ticket 2025 has been released on the official website @tnpscexams.in
-> HSSC Group D Result 2025 has been released on 2nd July 2025.
-> 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.
-> Candidates should also use the SSC CGL previous year papers for a good revision.
->The UGC NET Exam Analysis 2025 for June 25 is out for Shift 1.