Question

Draw the graphs of the equation x − y − 1=0 and 3x − 2y − 12 = 0. Determine
the co-ordinates of the vertices of the triangle formed by these lines and x − axis
and shade the triangular region. Also find the area of the triangular region formed

Answer 1

Answer:

ANSWER

Given,

x−y+1=0....(1)

3x+2y−12=0....(2)

put x=0 in (1)

0−y+1=0⇒y=1

(0,1).....(a)

put y=0 in (2)

3x+2(0)−12=0→x=4

(4,0).....(b)

put x=0 in (2)

3(0)+2y−12=0→y=6

(0,6)......(c)

put y=0 in (1)

x−0+1=0⇒x=−1

(−1,0)...(d)

From figure, the vertices of triangle are (−1,0),(2,3),(4,0)