Educational

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 \(

If n(A × B)=200 and n(A)=50, Find the Number of Elements in P(B) If n(A × B)=200 and n(A)=50, Find the Number of Elements in P(B) Question If \[ n(A\times B)=200 \] and \[ n(A)=50, \] then the number of elements in \( P(B) \) is ………………………. Solution We know that: \[ n(A\times B)=n(A)\times n(B)

If A = {3, 5, 6, 9} and R = {(x, y) : x + y < 18}, Find R in Roster Form If A = {3, 5, 6, 9} and R = {(x, y) : x + y < 18}, Find R in Roster Form Question If \[ A=\{3,5,6,9\} \] and \( R \)

If n(A ∩ B′)=9, n(A′ ∩ B)=10 and n(A ∪ B)=24, Find n(A × B) If n(A ∩ B′)=9, n(A′ ∩ B)=10 and n(A ∪ B)=24, then n(A × B) Question If \[ n(A\cap B’)=9, \] \[ n(A’\cap B)=10 \] and \[ n(A\cup B)=24, \] then \[ n(A\times B)= \ ? \] Solution We know

Find the Range of Relation R = {(x, y) : x ∈ R and −5 ≤ x ≤ 5} If R = {(x, y) : x ∈ R and −5 ≤ x ≤ 5}, then Range (R) = ………………………. Question If \[ R = \{(x,y): x\in \mathbb{R} \text{ and } -5\le x\le 5\} \] is

Find A × (B ∩ C) | Cartesian Product of Sets If A = {x : x ∈ W, x < 2}, B = {x : x ∈ N, 1 < x < 5} and C = {3,5}, then A × (B ∩ C) Question If \[ A = \{x : x \in W,\ x

The Relation R = {(x, y) : x² + y² = 64} is Finite or Infinite The Relation R = {(x, y) : x, y ∈ Z, x² + y² = 64} is ………………………. Question The relation \[ R = \{(x,y): x,y\in Z,\ x^2+y^2=64\} \] is ………………………. Solution We are given: \[ x^2+y^2=64 \] where

Find Domain and Range of Relation R = {(x, y) : x² + y² = 25} If R = {(x, y) : x, y ∈ Z, x² + y² = 25}, Find Domain and Range Question If \[ R = \{(x,y): x,y\in Z,\ x^2+y^2=25\} \] then Domain \( (R) \) = ……………. and Range \(

Total Number of Reflexive Relations on a Finite Set Having n Elements The Total Number of Reflexive Relations on a Finite Set Having n Elements is Question The total number of reflexive relations on a finite set having \( n \) elements is ………………………. Solution Let a finite set \( A \) have \( n