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Question 31 - CBSE Class 12 Sample Paper for 2022 Boards (MCQ Based - for Term 1) - Solutions of Sample Papers and Past Year Papers - for Class 12 Boards

Last updated at March 22, 2023 by

The point(s), at which the function f given by 𝑓(π‘₯) = {8(x/|x| ,x<0 -1, xβ‰₯0)─ is continuous, is/are :

(a) π‘₯ ∈ RΒ  Β  Β  Β  Β  Β  Β  Β  Β (b) π‘₯ = 0

(c) π‘₯ ∈ R – {0}Β  Β  Β  Β  Β (d) π‘₯ = βˆ’1 and 1

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Question 31 The point(s), at which the function f given by 𝑓(π‘₯) = {β– 8(π‘₯/|π‘₯| ,π‘₯<[email protected]βˆ’1, π‘₯β‰₯0)─ is continuous, is/are : (a) π‘₯ ∈ R (b) π‘₯ = 0 (c) π‘₯ ∈ R – {0} (d) π‘₯ = βˆ’1 and 1 Given 𝑓(π‘₯) = {β– 8(π‘₯/|π‘₯| ,π‘₯<[email protected]βˆ’1, π‘₯β‰₯0)─ Since |𝒙| = βˆ’x for x < 0 𝑓(π‘₯) = {β– 8(π‘₯/((βˆ’π‘₯)),π‘₯<[email protected]βˆ’1, π‘₯β‰₯0)─ = {β– 8(βˆ’1. ,π‘₯<[email protected]βˆ’1, π‘₯β‰₯0)─ = βˆ’1 Since f(x) = βˆ’1 is a constant function And constant function is continuous for all real numbers So, the correct answer is (A)

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Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 13 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.