Question
Download Solution PDFयदि (a3 + b3 + c3 - 3abc) = 405 और (a + b + c) = 15 है, तो (a - b)2 + (b - c)2 + (c - a)2 का मान ज्ञात कीजिए।
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFदिया गया है:
(a3 + b3 + c3 - 3abc) = 405 और (a + b + c) = 15
प्रयुक्त अवधारणा:
(a3 + b3 + c3 - 3abc) = 1/2 (a + b + c) [(a - b)2 + (b - c)2+(c - a)2]
गणना:
(a3 + b3 + c3 - 3abc) = 1/2 (a + b + c) [(a - b)2 + (b - c)2+(c - a)2]
⇒ 405 = 1/2 × 15 (a - b)2 + (b - c)2+(c - a)2
⇒ (a - b)2 + (b - c)2+(c - a)2. = 810 / 15
⇒ (a - b)2 + (b - c)2+(c - a)2 = 54
∴ सही विकल्प 2 है।
Last updated on Jul 12, 2025
-> The SSC CGL Application Correction Window Link Live till 11th July. Get the corrections done in your SSC CGL Application Form using the Direct Link.
-> 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.
-> The RRB Railway Teacher Application Status 2025 has been released on its official website.
-> The OTET Admit Card 2025 has been released on its official website.