Question

If the mean of a, b, c is M and ab + bc + ca = 0, then the mean of a2+b2+c23 is :

Answer 1

Answer:

a²+b²+c²+=9M²

Step-by-step explanation:

We know

a²+b²+c²+2(ab+bc+ca)

now M is mean of a,b,c so

a+b+c/3=M

a+b+c=3M

(a+b+c)²=9M²

a²+b²+c²+2(ab+bc+ca)=9M²

a²+b²+c²+0=9M²

a²+b²+c²+=9M²