CBSE Class 12 Sample Paper for 2022 Boards (MCQ Based - for Term 1)

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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 August 10, 2026 by

The point(s), at which the function f given by š‘“(š‘„) = {8(x/|x| ,x<0 -1, x≥0)┤ is continuous, is/are :

(a) š‘„ ∈ R                 (b) š‘„ = 0

(c) š‘„ ∈ R – {0}         (d) š‘„ = −1 and 1

Ques 31 (MCQ) - The point(s), at which function š‘“(š‘„) = { š‘„ / |š‘„| - CBSE Class 12 Sample Paper for 2022 Boards (MCQ Based - for Term 1)

part 2 - 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 - Class 12

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Transcript

Question 31 The point(s), at which the function f given by š‘“(š‘„) = {ā– 8(š‘„/|š‘„| ,š‘„<0@āˆ’1, š‘„ā‰„0)ā”¤ is continuous, is/are : (a) š‘„ āˆˆ R (b) š‘„ = 0 (c) š‘„ āˆˆ R ā€“ {0} (d) š‘„ = āˆ’1 and 1 Given š‘“(š‘„) = {ā– 8(š‘„/|š‘„| ,š‘„<0@āˆ’1, š‘„ā‰„0)ā”¤ Since |š’™| = āˆ’x for x < 0 š‘“(š‘„) = {ā– 8(š‘„/((āˆ’š‘„)),š‘„<0@āˆ’1, š‘„ā‰„0)ā”¤ = {ā– 8(āˆ’1. ,š‘„<0@āˆ’1, š‘„ā‰„0)ā”¤ = āˆ’1 Since f(x) = āˆ’1 is a constant function And constant function is continuous for all real numbers So, the correct answer is (A)

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