wiz-icon
MyQuestionIcon
MyQuestionIcon
1
You visited us 1 times! Enjoying our articles? Unlock Full Access!
Question

1nni=1f1(xi)=f(1nni=1xi)

Open in App
Solution

The condition,
ni=1f1(xi)=ni=1xi can be written as;
1nni=1f1(xi)=1nni=1f1xi
ie, AM of y-coordinates of f1=AM of x coordinates of f.
The given two conditions hold if and only if x2+3x3=x (point where f and f1 meet).
x2+2x3=0
So, x=3,+1
But x0x=1 (neglecting x=3)
Hence, we can write 1nni=1xi=1 which is the required result.

flag
Suggest Corrections
thumbs-up
0
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Sum of Coefficients of All Terms
MATHEMATICS
Watch in App
Join BYJU'S Learning Program
CrossIcon