Class 9 Exam > Class 9 Questions > If a2+b2+c2=30 and a+b+c=10,then find the val...
Start Learning for Free
If a2+b2+c2=30 and a+b+c=10,then find the value of ab+bc+ca
Most Upvoted Answer
If a2+b2+c2=30 and a+b+c=10,then find the value of ab+bc+ca
A+b+c=10
Squaring both both
(a+b+c)^2=(10)^2
=>a^2+b^2+c^2+2ab+2bc+2ca = 100
=> 30+2(ab+bc+ca) =100
=> 2(ab+bc+ca)=100-30=70
=>ab+bc+ca=70/2=35
=>ab+bc+ca=35(Ans).
Please upvote my answer.
Squaring both both
(a+b+c)^2=(10)^2
=>a^2+b^2+c^2+2ab+2bc+2ca = 100
=> 30+2(ab+bc+ca) =100
=> 2(ab+bc+ca)=100-30=70
=>ab+bc+ca=70/2=35
=>ab+bc+ca=35(Ans).
Please upvote my answer.
Community Answer
If a2+b2+c2=30 and a+b+c=10,then find the value of ab+bc+ca
Solution:
Given:
a2 b2 c2 = 30
a b c = 10
To find:
The value of ab bc ca
Solution Steps:
Step 1: Simplifying the given expression:
a2 b2 c2 = 30
(a b c)2 = 30
a b c = √30
Step 2: Finding the value of ab bc ca:
ab bc ca = (abc)2 / abc = (abc)2 / 10
ab bc ca = (√30)2 / 10 = 3
Answer:
The value of ab bc ca is 3.
Attention Class 9 Students!
To make sure you are not studying endlessly, EduRev has designed Class 9 study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in Class 9.
|
Explore Courses for Class 9 exam
|
|
Similar Class 9 Doubts
Top Courses for Class 9View all
If a2+b2+c2=30 and a+b+c=10,then find the value of ab+bc+ca
Question Description
If a2+b2+c2=30 and a+b+c=10,then find the value of ab+bc+ca for Class 9 2024 is part of Class 9 preparation. The Question and answers have been prepared according to the Class 9 exam syllabus. Information about If a2+b2+c2=30 and a+b+c=10,then find the value of ab+bc+ca covers all topics & solutions for Class 9 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If a2+b2+c2=30 and a+b+c=10,then find the value of ab+bc+ca.
If a2+b2+c2=30 and a+b+c=10,then find the value of ab+bc+ca for Class 9 2024 is part of Class 9 preparation. The Question and answers have been prepared according to the Class 9 exam syllabus. Information about If a2+b2+c2=30 and a+b+c=10,then find the value of ab+bc+ca covers all topics & solutions for Class 9 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If a2+b2+c2=30 and a+b+c=10,then find the value of ab+bc+ca.
Solutions for If a2+b2+c2=30 and a+b+c=10,then find the value of ab+bc+ca in English & in Hindi are available as part of our courses for Class 9.
Download more important topics, notes, lectures and mock test series for Class 9 Exam by signing up for free.
Here you can find the meaning of If a2+b2+c2=30 and a+b+c=10,then find the value of ab+bc+ca defined & explained in the simplest way possible. Besides giving the explanation of
If a2+b2+c2=30 and a+b+c=10,then find the value of ab+bc+ca, a detailed solution for If a2+b2+c2=30 and a+b+c=10,then find the value of ab+bc+ca has been provided alongside types of If a2+b2+c2=30 and a+b+c=10,then find the value of ab+bc+ca theory, EduRev gives you an
ample number of questions to practice If a2+b2+c2=30 and a+b+c=10,then find the value of ab+bc+ca tests, examples and also practice Class 9 tests.
|
|
Explore Courses for Class 9 exam
|
|
Suggested Free Tests
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
Follow Us
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup