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

Last updated at Dec. 16, 2024 by Teachoo

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

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)
  1. Chapter 5 Class 12 Continuity and Differentiability
  2. Serial order wise

    3. NCERT Exemplar - MCQs

    Rolle's and Mean Value Theorem →
Rolle's and Mean Value Theorem →
Chapter 5 Class 12 Continuity and Differentiability
Serial order wise

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Davneet Singh

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