Question
Download Solution PDFWhat is the possible value of (a + b + c) – 3 , if a2 + b2 + c2 = 9 and ab + bc + ca = 8?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
a2 + b2 + c2 = 9 and ab + bc + ca = 8
Concept used:
(a + b + c)2 = a2 + b2 + c2 + 2(ab + bc + ca)
Calculation:
(a + b + c)2 = 9 + 2 × 8
⇒ 9 + 16
⇒ 25
So, (a + b + c ) = 5
Now,
(a + b + c) – 3 = 5 - 3
⇒ 2
∴ The required answer is 2.
Last updated on Jul 17, 2025
-> 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.
-> HSSC CET Admit Card 2025 has been released @hssc.gov.in
-> 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.