Question

Draw the graphs of the equation 2x-2y+2=0 and 6x+4y-24=0 find the are of the triangle formed by these lines and x axis

Answer 1

Answer:

Correct option is

D

Vertices of the triangle are A(2,2),8(3,0) and C(−2,0) and Area: 5 square units

2x+y=6

⟹y=6−2x

Let, x=1, then y=6−2(1)=4

Similarly, when x=2,y=2

x−2y+2=0

⟹x=2y−2

Let, y=0, then x=2(0)−2=−2

Similarly, when y=2,x=2

Plotting the above points on the graph, we get, the vertices of the traingle, i.e. A(2,3),B(3,0),C(−2,0)

∴ Area of the triangle =21×5units×2units

=5 sq. units