Question
Download Solution PDF10 सेमी त्रिज्या वाले एक वृत्त की जीवा AB, केंद्र O से 8 सेमी की दूरी पर है। यदि A और B पर खींची गई स्पर्श रेखाएँ P पर प्रतिच्छेद करती हैं, तो स्पर्शरेखा AP की लंबाई (सेमी में) क्या है?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFदिया गया है:
त्रिज्या = 10 सेमी
प्रयुक्त अवधारणा:
समानता की अवधारणा
AAA समानता → यदि एक त्रिभुज के तीनों कोण दूसरे त्रिभुज के संगत कोणों के समान हों, तो त्रिभुज समरूप होते हैं।
गणना:
दी गयी आकृति में,
ΔDAO ∼ ΔAPO [∵ ∠OAP = ∠ODA = 90° और ∠AOD दो त्रिभुजों में उभयनिष्ठ है]
इसलिए,
AD/AP = DO/AO
⇒ 6/AP = 8/10 [6, 8, 10 पाइथागोरस त्रियक]
⇒ AP = 60/8
⇒ AP = 7.5 सेमी
∴ स्पर्शरेखा AP की लंबाई 7.5 सेमी है।
Last updated on Jun 13, 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.
-> 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.