Domain of a Relation on Natural Numbers | x + 2y = 8 | Class 11 Maths Domain of a Relation on Natural Numbers | x + 2y = 8 Question Let \( R \) be a relation on \( N \) defined by \[ x+2y=8 \] The domain of \( R \) is (a) […]
Relation from Complex Numbers to Real Numbers | Modulus Relation | Class 11 Maths Relation from Complex Numbers to Real Numbers | Modulus Relation Question A relation \( \phi \) from \( C \) to \( R \) is defined by \[ x\phi y \iff |x|=y \] Which one is correct? (a) \( (2+3i)\phi13 \)
Domain of a Relation | Relatively Prime Relation | Class 11 Maths Domain of a Relation | Relatively Prime Relation Question A relation \( R \) is defined from \( \{2,3,4,5\} \) to \( \{3,6,7,10\} \) by \[ xRy \iff x \text{ is relatively prime to } y \] Then, domain of \( R \)
“`html id=”relationdomain1″ Domain of a Relation on Integers | x² + y² ≤ 4 | Class 11 Maths Domain of a Relation on Integers | x² + y² ≤ 4 Question If \[ R=\{(x,y):x,y\in Z,\ x^2+y^2\le4\} \] is a relation on \( Z \), then domain of \( R \) is (a) \( \{0,1,2\} \)
“`html id=”relationrange1″ Range of a Relation | Relation from A to B | Class 11 Maths Range of a Relation | Relation from A to B Question If \( A=\{1,2,3\} \), \( B=\{1,4,6,9\} \) and \( R \) is a relation from \( A \) to \( B \) defined by “\( x \) is
“`html id=”relationinverse1″ Inverse Relation R⁻¹ | Find the Inverse of a Relation | Class 11 Maths Inverse Relation R⁻¹ | Find the Inverse of a Relation Question Let \( A=\{1,2,3\} \), \( B=\{1,3,5\} \). If relation \[ R=\{(1,3),(2,5),(3,3)\} \] from \( A \) to \( B \), then \( R^{-1} \) is (a) \( \{(3,1),(3,1),(5,2)\}
“`html id=”relationmaths2″ Relation on a Set | Find R if xRy ⇔ y = 3x | Class 11 Maths Relation on a Set | Find R if xRy ⇔ y = 3x Question If \( R \) is a relation on the set \( A = \{1,2,3,4,5,6,7,8,9\} \) given by \( xRy \iff y=3x \),
“`html id=”mathsjax1″ Cartesian Product of Sets | Find (A – B) × (B – C) | Class 11 Maths Cartesian Product of Sets | Find (A – B) × (B – C) Question If \( A = \{1, 2, 4\} \), \( B = \{2, 4, 5\} \), \( C = \{2, 5\} \), then
Show That the Relation R on N×N is Reflexive, Symmetric and Transitive Show That the Relation \(R\) on \(N\times N\) is Reflexive, Symmetric and Transitive Question Let \(R\) be a relation on \(N\times N\) defined by \[ (a,b)R(c,d)\iff a+d=b+c \] for all \[ (a,b),(c,d)\in N\times N \] Show that: (i) \[ (a,b)R(a,b) \] for all
Prove That (a,b)∈R₁ and (b,c)∈R₁ ⇒ (a,c)∈R₁ is Not Always True Prove That the Given Statement is Not Always True Question For the relation \(R_1\) defined on \(R\) by \[ (a,b)\in R_1 \iff 1+ab>0 \] Prove that \[ (a,b)\in R_1 \text{ and } (b,c)\in R_1 \Rightarrow (a,c)\in R_1 \] is not true for all \(a,b,c\in