Graphical Solution and Area of Triangles with the X-Axis Video Explanation Question Draw the graphs of the pair of linear equations: \[ x – y + 2 = 0 \] \[ 4x – y – 4 = 0 \] Calculate the area of the triangles formed by the lines so drawn and the x-axis. Solution […]
Graph of Lines and Area of the Figure Formed Video Explanation Question Draw the graphs of the lines \(x = -2\) and \(y = 3\). Write the vertices of the figure formed by these lines, the x-axis and y-axis. Also, find the area of the figure. Solution Step 1: Description of the Given Lines The
Graph of Linear Equations and Area of the Quadrilateral Video Explanation Question Draw the graph of the equations: \[ x = 3 \] \[ x = 5 \] \[ 2x – y – 4 = 0 \] Also find the area of the quadrilateral formed by these lines and the x-axis. Solution Step 1: Write
Graphical Determination of the Vertices of a Triangle Video Explanation Question Determine graphically the vertices of the triangle formed by the lines: \[ y = x \] \[ 3y = x \] \[ x + y = 8 \] Solution Step 1: Write the Equations in Convenient Form Equation (1): \(y = x\) Equation (2):
Graphical Solution and Ratio of Areas of Triangles Video Explanation Question Graphically solve the following pair of equations: \[ 2x + y = 6 \] \[ 2x – y + 2 = 0 \] Find the ratio of the areas of the two triangles formed by the lines representing these equations with the x-axis and
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: \[ y = x \] \[ 3y = x \] \[ x + y = 8 \] Solution Step 1: Write the Equations in Convenient Form Equation (1):
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