Published by:
CGP EDU Academic Team
Published on: August 13, 2026
The maximum number of points with integer coordinates lying inside the figure bounded by the graphs of two distinct linear functions, which map [–1, 1] onto [0, 3],with x-axis is .
Text Solution
Verified by ExpertsThe correct answer is:
1
Ans. 1
Sol. Let the functions be f(x) = ax + b
where f(–1) = 0 or f(–1) = 3
f(1) = 3 or f(1) = 0
a = b = 
or a = 
, b = 
so the graphs are y= 
x + 
and y= 
x + 
They enclose a triangle (fixed) with x-axis which includes only one point (0, 1) with integer coordinates.
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