Published by:
CGP EDU Academic Team
Published on: August 13, 2026
Let 
be defined as 
where a,b,c 
M and [t] denotes greatest integer less than or equal to t. Then, which of the following statements is true ?
A
There exists a,b,c 
M such that f is continuous of R.
M such that f is continuous of R.
B
If f is discontinuous at exactly one point, then a + b + c= 1.
C
If f is discontinuous at exactly one point, then a+b+c 
1.
1.
D
f is discontinuous at atleast two points, for any values of a, b and c.
Text Solution
Verified by ExpertsThe correct answer is:
C
f(x) is discontinuous at x = 1
For continuous at x = 0; a = 1
For continuous atx = 2;b + c= 1
a + b + c = 2
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