Math, asked by manishachouhan986, 11 hours ago

if the average of a,b,c be M and ab +bc = -ca, then average of a²,b²,c² is​

Answers

Answered by ghodindeaniket
1

Answer:

3M^2

Step-by-step explanation:

a+b+c/3   = M

or (a + b + c) = 3M

Now, (a + b + c)^2 = (3M)^2 = 9M^2

a^2 + b^2 + c^2 + 2 (ab + bc + ca) = 9M^2

a^2 + b^2 + c^2 = 9M^2  

(ab + bc + ca) = 0]

∴ Average = 9M^2/3 = 3M^2

Similar questions