Question 14 - NCERT Exemplar - MCQs - Chapter 5 Class 12 Continuity and Differentiability

Last updated at Dec. 16, 2024 by Teachoo

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}

This question is similar to Example 18 - Chapter 5 Class 12 - Continuity and Differentiability

Transcript

Question 14 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)

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Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 14 years. He provides courses for Maths, Science and Computer Science at Teachoo

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