Question 16 The function f (x) = cot x is discontinuous on the set (A) {𝑥=𝑛𝜋:𝑛∈𝒁} (B) {𝑥=2𝑛𝜋:𝑛∈𝒁} (C) {𝑥=(𝟐𝒏+𝟏) 𝝅/𝟐 ;𝑛∈𝒛} (D) {𝑥=𝒏𝝅/𝟐 ;𝑛∈𝒛} Let 𝑓(𝑥) = c𝑜𝑡⁡𝑥 𝒇(𝒙) = 𝒄𝒐𝒔⁡𝒙/𝒔𝒊𝒏⁡𝒙 Here, 𝑓(𝑥) is defined for all real number except 𝒔𝒊𝒏⁡𝒙 = 0 i.e. for all x except x = 𝒏𝝅 Thus, cot⁡𝑥 is discontinuous on the set {𝒙=𝒏𝝅:𝒏∈𝒁} So, the correct answer is (A)

Next: Question 17 → Ask a doubt

Made by

Davneet Singh

Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 13 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.

Class 6

Class 7

Class 8

Class 9

Class 10

Class 11

Class 12

Courses

Interesting

Popular

Class 6

Class 7

Class 8

Class 9

Class 10

Class 11

Class 12

Courses

Interesting

Popular

Question 16 - NCERT Exemplar - MCQs - Chapter 5 Class 12 Continuity and Differentiability (Term 1)

The function f (x) = cot x is discontinuous on the set

(A) {x=nπ:n∈ Z}

(B) {x=2nπ:n∈ Z}

(C) {x= (2n+1) π/2 ; n ∈z}

(D) {x= n π/2 ; n ∈z}

Transcript

Davneet Singh