Mathematics
Solve graphically the following equations: x + 2y = 4, 3x - 2y = 4.
Take 2 cm = 1 unit on each axis. Write down the area of the triangle formed by the lines and the y-axis. Also, find the area of the triangle formed by the lines and the x-axis.
Related Questions
Use graph paper for this question :
(i) Draw the graphs of 3x - y - 2 = 0 and 2x + y - 8 = 0. Take 1 cm = 1 unit on both axes and plot three points per line.
(ii) Write down the coordinates of the point of intersection and the area of the triangle formed by the lines and the x-axis.
Solve the following system of linear equations graphically :
2x - y - 4 = 0, x + y + 1 = 0.
Hence, find the area of the triangle formed by these lines and the y-axis.
On graph paper, take 2 cm to represent one unit on both axes, draw the lines :
x + 3 = 0, y - 2 = 0, 2x + 3y = 12.
Write down the coordinates of the vertices of the triangle formed by these lines.
Find graphically the coordinates of the vertices of the triangle formed by the lines y = 0, y = x and 2x + 3y = 10. Hence, find the area of the triangle formed by these lines.