Ravi Kant Kumar

Graphical Solution of a Pair of Linear Equations Video Explanation Question Solve the following system of equations graphically: \[ x + y = 4 \] \[ 2x – 3y = 3 \] Solution Step 1: Write Both Equations in a Convenient Form Equation (1): \[ x + y = 4 \Rightarrow y = 4 – […]

Graphical Solution of a Pair of Linear Equations Video Explanation Question Solve the following system of equations graphically: \[ x – 2y = 6 \] \[ 3x – 6y = 0 \] Solution Step 1: Write Both Equations in Convenient Form Equation (1): \[ x – 2y = 6 \Rightarrow y = \frac{x – 6}{2}

Graphical Solution of a Pair of Linear Equations Video Explanation Question Solve the following system of equations graphically: \[ x – y + 1 = 0 \] \[ 3x + 2y – 12 = 0 \] Solution Step 1: Write Both Equations in a Convenient Form Equation (1): \[ x – y + 1 =

Graphical Solution of a Pair of Linear Equations Video Explanation Question Solve the following system of equations graphically: \[ 3x + y + 1 = 0 \] \[ 2x – 3y + 8 = 0 \] Solution Step 1: Write Both Equations in the Form \(y = mx + c\) Equation (1): \[ 3x +

Graphical Solution of a Pair of Linear Equations Video Explanation Question Solve the following system of equations graphically: \[ 2x + y – 3 = 0 \] \[ 2x – 3y – 7 = 0 \] Solution Step 1: Write Both Equations in the Form \(y = mx + c\) Equation (1): \[ 2x +

Graphical Solution of a Pair of Linear Equations Video Explanation Question Solve the following system of equations graphically: \[ x – 2y = 5 \] \[ 2x + 3y = 10 \] Solution Step 1: Write Both Equations in a Convenient Form Equation (1): \[ x – 2y = 5 \Rightarrow x = 5 +

Graphical Solution of a Pair of Linear Equations Video Explanation Question Solve the following system of equations graphically: \[ x + y = 3 \] \[ 2x + 5y = 12 \] Solution Step 1: Write Both Equations Equation (1): \[ x + y = 3 \Rightarrow y = 3 – x \] Equation (2):

Algebraic and Geometrical Representation of Cost Problem Video Explanation Question The cost of 2 kg of apples and 1 kg of grapes on a day was ₹160. After a month, the cost of 4 kg of apples and 2 kg of grapes is ₹300. Represent the situation algebraically and geometrically. Solution Step 1: Define the

Pair of Linear Equations – Nature of Lines Video Explanation Question Given the linear equation \[ 2x + 3y – 8 = 0, \] write another linear equation in two variables such that the geometrical representation of the pair so formed is: (i) intersecting lines (ii) parallel lines (iii) coincident lines Solution Given Equation \[

Nature of Pair of Linear Equations Using Ratio of Coefficients Video Explanation Question On comparing the ratios \[ \frac{a_1}{a_2}, \frac{b_1}{b_2}, \frac{c_1}{c_2}, \] find out whether the lines representing the following pairs of linear equations intersect at a point, are parallel or coincide (without drawing them): (i) \(5x – 4y + 8 = 0,\; 7x +