CBSE Class 12 Sample Paper for 2024 Boards

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Solutions of Sample Papers and Past Year Papers - for Class 12 Boards

Question 4 - CBSE Class 12 Sample Paper for 2024 Boards - Solutions of Sample Papers and Past Year Papers - for Class 12 Boards

Last updated at Dec. 13, 2024 by

If f(x)={(kx/(|x|), if  x<0 , 3 if  x≥0)} is continuous at x=0, then the value of k is

(a) -3                (b) 0                 (c) 3              (d) any real number

This question is similar to Ex 5.1, 28 - Chapter 5 Class 12

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Transcript

Given that function is continuous at π‘₯=0 𝑓 is continuous at x =0 If L.H.L = R.H.L = 𝑓(0) i.e. lim┬(xβ†’0^βˆ’ ) 𝑓(π‘₯)=lim┬(xβ†’0^+ ) " " 𝑓(π‘₯)= 𝑓(0) LHL at x β†’ 0 (π‘™π‘–π‘š)┬(π‘₯β†’0^βˆ’ ) f(x) = (π‘™π‘–π‘š)┬(β„Žβ†’0) f(0 βˆ’ h) = lim┬(hβ†’0) (π‘˜(0 βˆ’β„Ž))/(|0βˆ’h|) = lim┬(hβ†’0) (π‘˜( βˆ’β„Ž))/h = -k Since L.H.L = R.H.L βˆ’π‘˜=3 π’Œ= βˆ’πŸ‘

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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