Question
Download Solution PDFयदि a, b, c धनात्मक पूर्णांक हैं तो (a + b)(b + c)(c + a) क्या है?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFसंकल्पना:
यदि a,b,c धनात्मक पूर्णांक हैं तो
1. समांतर माध्य:
2. ज्यामितीय माध्य
3. हरात्मक माध्य
4. समांतर माध्य, ज्यामितीय माध्य और हरात्मक माध्य के बीच संबंध
- G2 = AH
- AM ≥ GM ≥ HM
गणना:
हम जानते हैं कि,
AM ≥ GM
⇒
उसीप्रकार,
इन असमानताओं को गुणा करने पर, हमें निम्न प्राप्त होगा
⇒ (a + b)(b + c)(c + a) ≥ 8abc
अतः ≥ 8abc सही उत्तर है।
Last updated on Jun 6, 2025
-> The HTET TGT Applciation Portal will reopen on 1st June 2025 and close on 5th June 2025.
-> HTET Exam Date is out. HTET TGT Exam will be conducted on 26th and 27th July 2025
-> Candidates with a bachelor's degree and B.Ed. or equivalent qualification can apply for this recruitment.
-> The validity duration of certificates pertaining to passing Haryana TET has been extended for a lifetime.
-> Enhance your exam preparation with the HTET Previous Year Papers.