Relation: “Father of” Relation 📺 Video Explanation 📝 Question Let \( A \) be the set of all human beings in a town at a particular time. Define relation \( R = \{(x, y) : x \text{ is father of } y\} \). Determine whether \( R \) is reflexive, symmetric, and transitive. ✅ Solution […]
Relation: “Wife of” Relation 📺 Video Explanation 📝 Question Let \( A \) be the set of all human beings in a town at a particular time. Define relation \( R = \{(x, y) : x \text{ is wife of } y\} \). Determine whether \( R \) is reflexive, symmetric, and transitive. ✅ Solution
Relation: People Working at the Same Place 📺 Video Explanation 📝 Question Let \( A \) be the set of all human beings in a town at a particular time. Define relation \( R = \{(x, y) : x \text{ and } y \text{ work at the same place}\} \). Determine whether \( R \)
Finding Number of ₹1 and ₹2 Coins Video Explanation Question Aruna has only ₹1 and ₹2 coins. The total number of coins is 50 and the total amount is ₹75. Find the number of ₹1 and ₹2 coins respectively. Solution Step 1: Assume Variables Let number of ₹1 coins = \(x\) Let number of ₹2
Finding Value of k for Coincident Lines Video Explanation Question Find the value of \(k\) for which the equations \(3x – y + 8 = 0\) and \(6x – ky + 16 = 0\) represent coincident lines. Solution Step 1: Identify Coefficients \(a_1 = 3,\; b_1 = -1,\; c_1 = 8\) \(a_2 = 6,\; b_2
Finding Values of a and b Video Explanation Question If \(x = a,\; y = b\) is the solution of the system \(x – y = 2\) and \(x + y = 4\), find \(a\) and \(b\). Solution Step 1: Write Equations \[ x – y = 2 \quad (1) \] \[ x + y
Solving Pair of Linear Equations Video Explanation Question If \(x = a,\; y = b\) is the solution of the system \(x – y = 2\) and \(x + y = 4\), find the values of \(a\) and \(b\). Solution Step 1: Given Equations \[ x – y = 2 \quad (1) \] \[ x
Finding a Two Digit Number Video Explanation Question The sum of the digits of a two-digit number is 9. If 27 is added to it, the digits of the number get reversed. Find the number. Solution Step 1: Assume Digits Let tens digit = \(x\), units digit = \(y\) Number = \(10x + y\) Step
Area of Triangle Formed by Three Lines Video Explanation Question Find the area of the triangle formed by the lines \(2x + 3y = 12\), \(x – y – 1 = 0\), and \(x = 0\). Solution Step 1: Find Points of Intersection Intersection of \(x = 0\) and \(2x + 3y = 12\): \[
Area of Triangle Formed by Three Lines Video Explanation Question Find the area of the triangle formed by the lines \(x = 3\), \(y = 4\), and \(x = y\). Solution Step 1: Find Points of Intersection Intersection of \(x = 3\) and \(y = 4\): \[ (3, 4) \] Intersection of \(x = 3\)