Browse by Stream
QnA
Home
QnA
Go To Your Study Dashboard

Get Answers to all your Questions

header-bg qa
  • Home
  • School
  • Please solve RD Sharma class 12 chapter Continuity exercise 8.2 question 4 subquestion (ii) maths textbook solution

Please solve RD Sharma class 12 chapter Continuity exercise 8.2 question 4 subquestion (ii) maths textbook solution

Answers (1)

Answer:

 k = -2

Hint:

 Put LHL = RHL = f(2)

Given:

 f(x)= \begin{cases}k x+5 & x \leq 0 \\ x-1 & x>0\end{cases}

Explanation:

LHL = RHL = f(2)                 ....(1)

\begin{aligned} &\text { L.H.L } =\lim _{x \rightarrow 2^{-}} f(x)=\lim _{h \rightarrow 0}(2-h)=\lim _{h \rightarrow 0} k(2-h)+5 \\ &=2 k+5 \end{aligned}

R . H . L=\lim _{x \rightarrow 2^{+}} f(x)=\lim _{h \rightarrow 0}(2+h)=\lim _{h \rightarrow 0} k(2+h)-1=1

Using (1) we get

\begin{aligned} &\therefore 2 k+5=1 \\ &2 k=1-5 \\ &=-4 \\ &k=-2 \end{aligned}

Posted by

Gurleen Kaur

View full answer

Crack CUET with india's "Best Teachers"

  • HD Video Lectures
  • Unlimited Mock Tests
  • Faculty Support
cuet_ads

Similar Questions

Trending Articles/News

anam-khan

CBSE announces deadline for Class 10, 12 direct admissions, subject change
anam-khan

CBSE warns about unauthorised sources offering ‘quick’ ways of getting duplicate marksheets, certificates
anam-khan

CBSE unveils 8 major changes for Class 10, 12 board exams; what students need to know

Latest Question