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

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}

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