Browse by Stream
QnA
Home
QnA
Go To Your Study Dashboard

Get Answers to all your Questions

header-bg qa

Consider the function :

f ( x)= [ x ]+ [ 1-x ], -1\leq x\leq 3 when [ x ] is the greatest integer function.

Statement I: f is not continuous at x= 0, 1, 2 and 3.

\\Statement \:II :\:\:f(x)=\left\{\begin{matrix} -x &-1\leq x<0 \\ 1-x&0\leq x<1 \\ 1+x&1\leq x<2 \\ 2+x&2\leq x\leq3 \end{matrix}\right.

 

Option: 1

Statement I is true; Statement II is false.


Option: 2

Statement I is true; Statement II is true;

StatementII is not a correct explanation for Statement I.


Option: 3

Statement I is true; Statements II is true;

Statement II is a correct explanation for Statement I.


Option: 4

Statement I is false; Statement II is true


Answers (1)

best_answer

Let f(x) = [x] + [1 - x], -1 \leq x \leq 3
where [x] is greatest integer function.

f is not continuous at x = 0,1,2,3
But in statement-2 f(x) is continuous at x = 3
Hence, statement- 1 is true and 2 is false.

Posted by

Rakesh

View full answer

JEE Main high-scoring chapters and topics

Study 40% syllabus and score up to 100% marks in JEE

Similar Questions

Trending Articles/News

anam-khan

JEE Main 2026 Paper 2 Toppers: 4 score 100 percentile; most from Kerala, one female topper
anam-khan

JEE Mains 2026 paper 2 result out on jeemain.nta.nic.in
anam-khan

JEE Mains 2026 session 2 B.Arch, B.Planning final answer key out, no question dropped

Latest Question