Graphical Determination of the Vertices of a Triangle Video Explanation Question Determine graphically the coordinates of the vertices of a triangle, the equations of whose sides are: \[ y = x \] \[ y = 2x \] \[ y + x = 6 \] Solution Step 1: Write the Equations in Convenient Form Equation (1): […]
Different Geometrical Representations of a Pair of Linear Equations Video Explanation Given Equation The given linear equation is: \[ 2x + 3y – 8 = 0 \] Solution (i) Intersecting Lines For two lines to intersect, their coefficients must satisfy: \[ \frac{a_1}{a_2} \ne \frac{b_1}{b_2} \] Choose another equation such as: \[ x + y –
Graphical Representation of a Pair of Linear Equations Video Explanation Question Represent the following pair of equations graphically and write the coordinates of the points where the lines intersect the y-axis: \[ x + 3y = 6 \] \[ 2x – 3y = 12 \] Solution Step 1: Write Both Equations in the Form \(y
Graphical Solution, Shaded Region and Area Video Explanation Question Solve the following system of equations graphically and shade the region between the lines and the y-axis: \[ 4x – y = 4 \] \[ 3x + 2y = 14 \] Solution Step 1: Write Both Equations in the Form \(y = mx + c\) Equation
Graphical Solution, Shaded Region and Area Video Explanation Question Solve the following system of equations graphically and shade the region between the lines and the y-axis: \[ 3x – 4y = 7 \] \[ 5x + 2y = 3 \] Solution Step 1: Write Both Equations in the Form \(y = mx + c\) Equation
Formation and Graphical Solution of Linear Equations Video Explanation Question Champa went to a sale to purchase some pants and skirts. She said that the number of skirts is two less than twice the number of pants purchased. Also, the number of skirts is four less than four times the number of pants purchased. Find
Formation and Graphical Solution of Linear Equations Video Explanation Question 5 pencils and 7 pens together cost Rs. 50, whereas 7 pencils and 5 pens together cost Rs. 46. Find the cost of one pencil and one pen. Solution Step 1: Let the Variables Be Let the cost of one pencil = \(x\) rupees Let
Formation and Graphical Solution of Linear Equations Video Explanation Question 10 students of class X took part in a Mathematics quiz. If the number of girls is 4 more than the number of boys, find the number of boys and girls who took part in the quiz. Solution Step 1: Let the Variables Be Let
Graph of Linear Equations and Area of the Triangle Video Explanation Question Draw the graphs of the equations and determine the coordinates of the vertices of the triangle formed by these lines and the y-axis. Also find the area of the triangle: \[ 5x – y = 5 \] \[ 3x – y = 3
Graphical Solution and Triangle Formed with the Y-Axis Video Explanation Question Solve the following system of linear equations graphically and determine the coordinates of the vertices of the triangle formed by these lines and the y-axis: \[ 4x – 5y – 20 = 0 \] \[ 3x + 5y – 15 = 0 \] Solution