निम्नलिखित आकृति में, दो वृत्त हैं जो एक दूसरे को बाह्य रूप से स्पर्श करते हैं। केंद्र P वाले पहले वृत्त की त्रिज्या 25 cm है। केंद्र Q वाले दूसरे वृत्त की त्रिज्या 4 cm है। उनकी उभयनिष्ठ अनुस्पर्श रेखा AB की लंबाई ज्ञात कीजिए।

F1 SSC Arbaz 6-10-23 D24

चित्र पैमाने पर आधारित नहीं है और केवल प्रतिनिधित्वात्मक उद्देश्य के लिए है। 

This question was previously asked in
SSC CGL 2023 Tier-I Official Paper (Held On: 25 Jul 2023 Shift 1)
View all SSC CGL Papers >
  1. 21 cm
  2. 18 cm
  3. 20 cm
  4. 22 cm

Answer (Detailed Solution Below)

Option 3 : 20 cm
super-subscription-prototype
Free
PYST 1: SSC CGL - English (Held On : 11 April 2022 Shift 1)
3.1 Lakh Users
25 Questions 50 Marks 12 Mins

Detailed Solution

Download Solution PDF

दिया गया​ है:

बड़े वृत्त की त्रिज्या = 25 cm

छोटे वृत्त की त्रिज्या = 4 cm

प्रयुक्त सूत्र:

प्रत्यक्ष उभयनिष्ठ स्पर्शज्या= 2 × √(R × r)

गणना:

प्रत्यक्ष उभयनिष्ठ स्पर्शज्या (AB) = 2 × √(R × r)

⇒ 2 × √(25 × 4)

⇒ 2 × 10 = 20 cm

∴ सही उत्तर 20 cm है। 

Latest SSC CGL Updates

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. 

More Circle Questions

More Geometry Questions

Get Free Access Now
Hot Links: teen patti 500 bonus teen patti gold apk download teen patti rules teen patti circle teen patti winner