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 […]

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

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 \[ |1^2-1^2|=0\le5 \]

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, \[

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

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 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 \[ n(A\times A\times B)=n(A)\times n(A)\times n(B) \] \[ =3\times3\times4 \] \[ =36 \]

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\},

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

If A = {1, 2, 3, 4, 5, 6}, Find the Number of Subsets Containing 2, 3 and 5 If A = {1, 2, 3, 4, 5, 6}, Find the Number of Subsets Containing 2, 3 and 5 Question If \[ A=\{1,2,3,4,5,6\}, \] then the number of subsets of \( A \) containing elements \(