Question

Draw the graph of the equation

x+y=2

Determine the

coordinates of the vertices of the triangle formed by line and axes. Also

find the area of the triangular region.​

Answer 1

x−y+1=0

x−y=−1    ...(i)

3x+2y−12=0

3x+2y=12   ...(ii)

x−y=−1

y=1+x

x0−1y10Plot (0,1) and (1,2) on graph and join them to get eqn (i)

For 3x+2y=12

⇒2y=12−3x

⇒r=212−3x

 x04 y60Plot 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).