Question 4 - NCERT Exemplar - MCQs - Chapter 5 Class 12 Continuity and Differentiability

Last updated at August 12, 2026 by

The function given by f (x) = tan x is discontinuous on the set

(A) {nΟ€:n Ο΅ z} Β  Β Β Β Β 

(B) {2nΟ€:n Ο΅ z}

(C) {(2n + 1) Ο€/2 : n Ο΅ z } Β  Β Β Β Β Β 

(D) {nΟ€/2 " : " n Ο΅ z}

Β 

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

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

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Transcript

Question 4 The function given by f (x) = tan x is discontinuous on the set (A) {π‘›πœ‹:𝑛 πœ– 𝒛} (B) {2π‘›πœ‹:𝑛 πœ– 𝒛} (C) {(2n + 1) πœ‹/2 : 𝑛 πœ– 𝒛} (D) {π‘›πœ‹/2 " : " 𝑛 πœ– 𝒛} 𝑓(π‘₯) = tan π‘₯ 𝒇(𝒙) = 𝐬𝐒𝐧⁑𝒙/πœπ¨π¬β‘π’™ Here, 𝑓(π‘₯) is defined for all real number except 𝒄𝒐𝒔 𝒙 = 0 i.e. for all π‘₯ except 𝒙 = (πŸπ’+𝟏) 𝝅/𝟐 Thus, tan⁑π‘₯ is discontinuous on the set 𝒙={(πŸπ’+𝟏) 𝝅/𝟐;𝒏 𝝐 𝒛} So, the correct answer is (C)

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