Which of the following function(s) defined below has/have single point continuity. (A) \( f(x)=\...

Channel:
PW Solutions
Subscribers:
449,000
Published on ● Video Link: https://www.youtube.com/watch?v=ApCGMdS3NdQ


Duration: 4:31
83 views
0

Which of the following function(s) defined below has/have single point continuity.
(A) \( f(x)=\left[\begin{array}{lll}1 & \text { if } & x \in Q \\ 0 & \text { if } & x \notin Q\end{array}\right. \)
(B) \( g(x)=\left[\begin{array}{cc}x & \text { if } x \in Q \\ 1-x & \text { if } x \notin Q\end{array}\right. \)
\( \mathrm{P} \)
(C) \( h(x)=\left[\begin{array}{ll}x & \text { if } x \in Q \\ 0 & \text { if } x \notin Q\end{array}\right. \)
(D) \( k(x)=\left[\begin{array}{ccc}x & \text { if } & x \in Q \\ -x & \text { if } & x \notin Q\end{array}\right. \)
📲PW App Link - https://bit.ly/YTAI_PWAP
🌐PW Website - https://www.pw.live



Other Videos By PW Solutions


2023-02-14The major product of the following reaction is : [JEE Main-2019 (April)] P \( \underset{\mathrm{...
2023-02-14In throwing of a pair of dice, find the probability of the event: t...
2023-02-14There are two concentric metal shells of radii \( r_{1} \) and \( r...
2023-02-14If graph of the quadratic \( y=a x^{2}+b x+c \) is given below: P W...
2023-02-14\( \lim _{x \rightarrow \infty} \frac{(a x+1)^{n}}{x^{n}+A} \) is equal to \( \mathrm{P} \) (A) ...
2023-02-14Which act included noise as an air pollutant? P W
2023-02-14Consider the equation \( x^{4}-\lambda x^{2}+9=0 \). This can be so...
2023-02-14Why are owners of motor vehicles equipped with catalytic converters...
2023-02-14How is nuclear waste stored? \( \mathrm{P} \)
2023-02-14Two particles are thrown simultaneously from points \( A \) and \( B \) with velocities \( u_{1}...
2023-02-14Which of the following function(s) defined below has/have single point continuity. (A) \( f(x)=\...
2023-02-14A body starts from rest with constant acceleration, the ratio of di...
2023-02-14Starting from the origin at time \( t=0 \), with initial velocity \...
2023-02-14Consider the equation \( x^{4}-\lambda x^{2}+9=0 \). This can be so...
2023-02-14Two graphs of the same projectile motion (in the \( x y \)-plane) projected from origin are show...
2023-02-14Which of the following groups make up an important part of the phytoplankton? (a) Phacophyta (b)...
2023-02-14A cubical box dimension \( L=5 / 4 \mathrm{~m} \) starts moving with an acceleration \( \vec{a}=...
2023-02-14What is the forest cover in India? \( \mathrm{P} \)
2023-02-14If \( \lim _{x \rightarrow 0}(\cos x+a \sin b x)^{\frac{1}{x}}=e^{2} \), then the possible value...
2023-02-14If \( f(x)=|x|^{\sin x} \), then (A) \( \lim _{x \rightarrow 0^{-}} f(x)=1 \) (B) \( \lim _{x \r...
2023-02-14If \( \left[\begin{array}{ll}1 & 1 \\ 0 & 1\end{array}\right] \cdot...