Published by:
CGP EDU Academic Team
Published on: August 12, 2026
In 
, prove that 
Text Solution
Verified by ExpertsThe correct answer is:
CHECK THE SOLUTION.
In 
, we have 
.
So, consider the graph of function 
for 
.
The graph of function is concave downward.
Now, consider three points on the graph 
and 
.
Join these points to get triangle 
.
Now, centroid of the triangle 
is
Through point 
, draw a line parallel to 
-axis meeting graph at point 
and 
-axis at point 
.
The abscissa of point 
is 
So, coordinates of point 
are 
.
Clearly, 
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