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

Last updated at April 16, 2024 by

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

(A) {nπ:n ϵ z}       

(B) {2nπ:n ϵ z}

(C) {(2n + 1) π/2 : n ϵ z }        

(D) {nπ/2 " : " n ϵ z}

 

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

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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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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