Browse by Stream
QnA
Home
QnA
Go To Your Study Dashboard

Get Answers to all your Questions

header-bg qa
  • Home
  • Engineering
  • Consider [t] denotes the greatest integer less than or equal to t. Let<img alt="\mathrm{ f(x)=x-[x], g(x)=1-x+[x], \ and \ h(x)=\min \{f(x), g(x)\}, x \in[-2,2].}" src="https://entrancecorner.oncod

Consider [t] denotes the greatest integer less than or equal to t. Let\mathrm{ f(x)=x-[x], g(x)=1-x+[x], \ and \ h(x)=\min \{f(x), g(x)\}, x \in[-2,2].} Then h is

Option: 1

continuous in [-2,2] but not differentiable at 7 points in (-2,2)


Option: 2

continuous in [-2,2] but not differentiable at exactly 4 points in (-2,2)


Option: 3

 not continuous at exactly four points in [-2,2]


Option: 4

not continuous at exactly three points in [-2,2]


Answers (1)

best_answer

We have, f(x) = x – [x] = {x}, g(x) = 1 – (x – [x]) = 1 – {x}, and h(x) = min {f(x), g(x)}

h(x) is continuous in [–2, 2] but not differentiable at 7 points in (–2, 2).

Posted by

Riya

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 2025: NIT Rourkela cut-offs for CSE, chemical engineering drop; last years' closing ranks
anam-khan

JEE Main 2025 Live: NTA exam city slip at jeemain.nta.nic.in soon; session 1 schedule
anam-khan

JEE Main 2025 schedule out for session 1; paper 1 from January 22

Latest Question