# Question 11 - Miscellaneous - Chapter 1 Class 12 Relation and Functions

Last updated at April 16, 2024 by Teachoo

Miscellaneous

Misc 1
Important

Misc 2

Misc 3 Important

Misc 4 Important

Misc 5

Misc 6 (MCQ) Important

Misc 7 (MCQ) Important

Question 1 Deleted for CBSE Board 2024 Exams

Question 2 Deleted for CBSE Board 2024 Exams

Question 3 Important Deleted for CBSE Board 2024 Exams

Question 4 Deleted for CBSE Board 2024 Exams

Question 5 Deleted for CBSE Board 2024 Exams

Question 6 Important Deleted for CBSE Board 2024 Exams

Question 7 (i) Important Deleted for CBSE Board 2024 Exams

Question 7 (ii) Deleted for CBSE Board 2024 Exams

Question 8 Deleted for CBSE Board 2024 Exams

Question 9 Important Deleted for CBSE Board 2024 Exams

Question 10 Important Deleted for CBSE Board 2024 Exams

Question 11 Deleted for CBSE Board 2024 Exams You are here

Question 12 (MCQ) Important Deleted for CBSE Board 2024 Exams

Chapter 1 Class 12 Relation and Functions

Serial order wise

Last updated at April 16, 2024 by Teachoo

Question 11 Let f: R → R be the Signum Function defined as 𝑓 𝑥= 1 , 𝑥>0&0, 𝑥=0−1 , 𝑥<0 and g: R → R be the Greatest Integer Function given by g(x) = [x], where [x] is greatest integer less than or equal to x. Then does fog and gof coincide in (0, 1]? We have to find gof and fog in (0, 1] i.e. 0 < x ≤ 1 gof = g(f(x)) = [f(x)] = [1] = 1 fog = f(g(x)) = 𝑓 0 , 0<𝑥<1𝑓 1, 𝑥=1 = 0, 0<𝑥<11, 𝑥=1 Hence gof = 1 & fog = 0, 0<𝑥<11, 𝑥=1 In gof , there is only one value, & in fog ,there are two values Hence, fog and gof do not coincide in (0, 1].