Q18 of 56 Page 13

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.

4x-3y+4=0 passes through (-1, 0) and (0, 4/3)


4x + 3y – 20 = 0 passes through (5, 0) and (0, 20/3)



Coordinates of the vertices of triangle with x-axis, (-1, 0), (5, 0) and (2, 4)


Height of the triangle = 4


Base of the triangle = 5 + 1 = 6


Area of the triangle = 1/2 × 4 × 6 = 12 sq. unit

More from this chapter

All 56 →
16

Draw the graph of y = |x| +2.

 17

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.

 19

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.

 20

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.