Question

Draw the graphs of x – y + 1 = 0 and 3x + 2y - 12 = 0. Determine the coordinates of the vertices of the triangle formed by these lines and x axis and shade the triangle. 9. Draw the graph of the equations x=2, x= 3, y= 1 and y= 3 .On the same graph and find the area bounded by these 4 lines?

Answer 1

Answer:

x−y+1=0

x−y=−1 ...(i)

3x+2y−12=0

3x+2y=12 ...(ii)

x−y=−1

y=1+x

x 0 −1

y 1 0

Plot (0,1) and (1,2) on graph and join them to get eqn (i)

For 3x+2y=12

⇒2y=12−3x

⇒r=

2

12−3x

x 0 4

y 6 0

Plot point (0,6) and (4,0) on graph and join them to get eqn (ii)

△ABC is the required triangle with coordinates of A as (2,3),B(−1,0) and C(4,0).

solution