Browse by Stream
QnA
Home
QnA
get app
Go To Your Study Dashboard
  1. Home
  2. Jobs
  3. Question
# Jobs

If the mean of a,b,c is M and ab + bc + ca = 0, then the mean of a2, b2, c2 is

  • Option 1)

    M2

  • Option 2)

    3M2

  • Option 3)

    6M2     

  • Option 4)

    2M2

  • Option 5)

    9M2

Answers (1)
R rishi.raj

\frac{(a+b+c)}{3} = m
=> a+b+c= 3m
ab+bc+ca=0
As (a+b+c)^{2} = a^{2}+b^{2}+c^{2} + 2(ab+bc+ac)
=> (3m)^{2} = (a^{2}+b^{2}+c^{2} )+ 2(0)
=> a^{2}+b^{2}+c^{2} = 9m^{2}
Avg. \: O\! f (a^{2}+b^{2}+c^{2} ) is = (9m^{2}/3)
                                     = 3m^{2}

Similar Questions

Latest Asked Questions

Most Viewed Questions

Preparation Products

Boost your Preparation for JEE Main 2021 with Personlized Coaching
Start Now
 
Exams
Articles
Questions