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

Last updated at August 12, 2026 by

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

(A) {x=nฯ€:nโˆˆ Z} ย  ย ย  ย  ย ย ย ย ย ย ย ย 

(B) {x=2nฯ€:nโˆˆ Z} ย 

(C) {x= (2n+1)ย  ฯ€/2 ย  ; n โˆˆz} ย  ย ย ย ย ย ย ย ย  ย  ย ย ย ย ย ย ย ย 

(D) {x= n ฯ€/2 ย  ; n โˆˆz}

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

The function f(x) = cot x is discontinuous on the set - Class 12 MCQ - NCERT Exemplar - MCQs

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Transcript

Question 14 The function f (x) = cot x is discontinuous on the set (A) {๐‘ฅ=๐‘›๐œ‹:๐‘›โˆˆ๐’} (B) {๐‘ฅ=2๐‘›๐œ‹:๐‘›โˆˆ๐’} (C) {๐‘ฅ=(๐Ÿ๐’+๐Ÿ) ๐…/๐Ÿ ;๐‘›โˆˆ๐’›} (D) {๐‘ฅ=๐’๐…/๐Ÿ ;๐‘›โˆˆ๐’›} Let ๐‘“(๐‘ฅ) = c๐‘œ๐‘กโก๐‘ฅ ๐’‡(๐’™) = ๐’„๐’๐’”โก๐’™/๐’”๐’Š๐’โก๐’™ Here, ๐‘“(๐‘ฅ) is defined for all real number except ๐’”๐’Š๐’โก๐’™ = 0 i.e. for all x except x = ๐’๐… Thus, cotโก๐‘ฅ is discontinuous on the set {๐’™=๐’๐…:๐’โˆˆ๐’} So, the correct answer is (A)

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