The path of a train A is given by the equation 3x+4y-12=0 and the path of another train B is given by the equation 6x+8y-48=0. Represent this situation graphically.

Draw the graphs of the following linear equations on the same graph paper.

2x+3y = 12, x – y = 1

Find the coordinates of the vertices of the triangle formed by the two straight lines and the y-axis. Also, find the area of the triangle.

Draw the graphs of the linear equations 4x-3y+4=0 and 4x+3y-20=0. Find the area bounded by these lines and x-axis.

Ravish tells his daughter Aarushi, “Seven years ago, I was seven times as old as you were then. Also, three years from now, I shall be three times as old as you will be.” If present ages of Aarushi and Ravish are x and y years respectively, represent this situation algebraically as well as graphically.

Aarushi was driving a car with uniform speed of 60 km/h. Draw distance-time graph. From the graph, find the distance travelled by Aarushi on

(i) 2 Hours

(ii) Hour