Let \( R \) is a relation from \( \{11,12,13\} \) to \( \{8,10,12\} \) defined by \( y=x-3 \). T.... VIDEO
Let \( R \) is a relation from \( \{11,12,13\} \) to \( \{8,10,12\} \) defined by \( y=x-3 \). Then, \( R^{-1} \) is
(1) \( \{(8,11),(10,13)\} \)
\( \mathrm{P} \)
(2) \( \{(11,8),(13,10)\} \)
(3) \( \{(10,13),(8,11),(12,10)\} \)
(4) none of these
📲PW App Link - https://bit.ly/YTAI_PWAP
🌐PW Website - https://www.pw.live
Other Videos By PW Solutions 2024-01-21 Let \( f=\{(2,4),(5,6),(8,-1),(10,-3)\} \) and \( g=\{(2,5),(7 \),
\( 1),(8,4),(10,13),(11,5)\} .... 2024-01-21 If \( 3 f(x)+5 f\left(\frac{1}{x}\right)=\frac{1}{x}-3 \) for all non-zero \( x \), then \( f(x).... 2024-01-21 If \( f: R \rightarrow R \) and \( g: R \rightarrow R \) are defined by \( f(x)=2 x+ \)
3 and \(.... 2024-01-21 The domain of the function \( f \) defined by
\( f(x)=\frac{x^{2}+2 x+1}{x^{2}-x-6} \) is equal .... 2024-01-21 For any three sets. \( P, Q \) and \( R, s \) is an element of \( (F \) \( \Delta Q) \Delta R \).... 2024-01-21 If \( f:[-2,2] \rightarrow R \) is defined by \( f(x)=\left\{\begin{array}{l}-1, \text { for }-2.... 2024-01-21 Let \( A=\{x \in R: x \neq 0,-4 \leq x \leq 4\} \) and \( f: A \rightarrow R \) be
defined by \(.... 2024-01-21 If \( R \) is a relation on a finite set having \( n \) elements, then
the number of relations o.... 2024-01-21 Let \( n(A)=m \) and \( n(B)=n \). Then the total number of
non-empty relations that can be defi.... 2024-01-21 In a class of 42 students, the number of students studying different subjects are 23 in Mathemat.... 2024-01-21 Let \( R \) is a relation from \( \{11,12,13\} \) to \( \{8,10,12\} \) defined by \( y=x-3 \). T.... 2024-01-21 Let \( R \) be a relation on \( N \) defined by \( x+2 y=8 \). Then
domain of \( R \) is
W..... 2024-01-21 If \( R=\left\{(x, y): x, y \in Z, x^{2}+y^{2} \leq 4\right\} \) is a relation on \( Z \),
then .... 2024-01-21 A relation \( \phi \) from \( \mathrm{C} \) to \( \mathrm{R} \) is defined by \( \mathrm{x} \phi.... 2024-01-21 Let \( R \) be a relation from a set \( A \) to a set \( B \), then
(1) \( R=A \cup B \)
(2) \( .... 2024-01-21 Statement-1: Let \( A=\{1,2,3\} \) and \( B=\{1,2,3,4\} \).
Then, \( A \subset B \).
Statement -.... 2024-01-21 If the set \( A \) has \( p \) elements, \( B \) has \( q \) elements, then the
number of elemen.... 2024-01-21 A relation \( R \) is defined form \( \{2,3,4,5\} \) to \( \{3,6,7 \), \( 10\} \) by : \( x R y .... 2024-01-21 Which of the following is an empty set?.... 2024-01-21 \( A=\left\{x: x\right. \) satisfies \( \left.x^{3}-11 x^{2}+39 x-45=0\right\} \)
\( B=\{x: 5 x-.... 2024-01-21 Statement-1: If \( n(A)=3, n(B)=6 \) and \( A \subset B \), then the number of elements in \( A ....