If A = {1, 3, 5} and B = {2, 4}, list the elements of R, if R = {(x, y) : x, y ∈ A × B and x > y}.
List the Elements of R if R = {(x, y) : x > y} for A = {1, 3, 5} and B = {2, 4}
If R = {(2, 1), (4, 7), (1, −2), …}, then write the linear relation between the components of the ordered pairs of the relation R.
Find the Linear Relation Between the Components of Ordered Pairs of R Find the Linear Relation Between the Components of Ordered Pairs of R Question If \[ R=\{(2,1),(4,7),(1,-2),\ldots\}, \] then write the linear relation between the components of the ordered pairs of the relation \( R \). Solution Let the linear relation be \[ y=ax+b
Let R = {(x, y) : x, y ∈ Z, y = 2x − 4}. If (a, −2) and (4, b²) ∈ R, then write the values of a and b.
Find the Values of a and b if (a, −2) and (4, b²) ∈ R Find the Values of a and b if (a, −2) and (4, b²) ∈ R Question Let \[ R=\{(x,y): x,y\in Z,\ y=2x-4\} \] If \[ (a,-2)\in R \] and \[ (4,b^2)\in R, \] then write the values of \( a
Let A = {1, 2, 3} and R = {(a, b) : |a² − b²| ≤ 5, a, b ∈ A}. Then write R as set of ordered pairs.
Write R as a Set of Ordered Pairs for |a² − b²| ≤ 5 Write R as a Set of Ordered Pairs for |a² − b²| ≤ 5 Question Let \[ A=\{1,2,3\} \] and \[ R=\{(a,b): |a^2-b^2|\le5,\ a,b\in A\} \] Then write \( R \) as a set of ordered pairs. Solution \[ |1^2-1^2|=0\le5 \]
If R is a relation from set A = {11, 12, 13} to set B = {8, 10, 12} defined by y = x − 3, then write R⁻¹.
Find R⁻¹ if R is Defined by y = x − 3 Find R⁻¹ if R is Defined by y = x − 3 Question If \( R \) is a relation from set \[ A=\{11,12,13\} \] to set \[ B=\{8,10,12\} \] defined by \[ y=x-3, \] then write \( R^{-1} \). Solution Given, \[
If R = {(x, y) : x, y ∈ Z, x² + y² ≤ 4} is a relation defined on the set Z of integers, then write domain of R.
Find the Domain of Relation R Where x² + y² ≤ 4 Find the Domain of Relation R Where x² + y² ≤ 4 Question If \[ R=\{(x,y): x,y\in Z,\ x^2+y^2\le4\} \] is a relation defined on the set \( Z \) of integers, then write domain of \( R \). Solution Given, \[ x^2+y^2\le4
If R is a relation defined on the set Z of integers by the rule (x, y) ∈ R ⇔ x² + y² = 9, then write domain of R.
Find the Domain of Relation R Where x² + y² = 9 Find the Domain of Relation R Where x² + y² = 9 Question If \( R \) is a relation defined on the set \( Z \) of integers by the rule \[ (x,y)\in R \iff x^2+y^2=9, \] then write domain of \(
If n(A) = 3, n(B) = 4, then write n(A × A × B).
If n(A) = 3 and n(B) = 4, Find n(A × A × B) If n(A) = 3 and n(B) = 4, Find n(A × A × B) Question If \[ n(A)=3,\quad n(B)=4, \] then write \[ n(A\times A\times B) \] Solution \[ n(A\times A\times B)=n(A)\times n(A)\times n(B) \] \[ =3\times3\times4 \] \[ =36 \]
If n(A) = 3, n(B) = 4, then write n(A × A × B). Read More »
If A = {1, 2, 4}, B = {2, 4, 5} and C = {2, 5}, write (A − C) × (B − C).
Find (A − C) × (B − C) for A = {1, 2, 4}, B = {2, 4, 5} and C = {2, 5} Find (A − C) × (B − C) for A = {1, 2, 4}, B = {2, 4, 5} and C = {2, 5} Question If \[ A=\{1,2,4\},\ B=\{2,4,5\}\ \text{and}\ C=\{2,5\},
If A = {1, 2, 4}, B = {2, 4, 5} and C = {2, 5}, write (A − C) × (B − C). Read More »
Class 11th Maths – Relations RD Sharma Chapter 2 : Very Short Answer Questions (VSAQs) Solution (Step-by-Step Guide)
Relations RD Sharma Chapter 2 : Very Short Answer Questions (VSAQs) Solution VERY SHORT ANSWER QUESTIONS (VSAQs) Answer each of the following questions in one word or one sentence or as per exact requirement of the question: If A = {1, 2, 4}, B = {2, 4, 5} and C = {2, 5}, write (A