Question

a pair of linear equation represented graphically on the coordinate plane a) the solutions of the equation is b) vertices of the triangle formed between the lines and y axis is c) area of the traingle enclosed between the lines and x axis is d) the equation of the x axis is e) find the coordinate of the points where
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Answer 1

Step-by-step explanation:

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 =

2

1

×5 units×2 units

=5 sq. units

Answer 2

Step-by-step explanation:

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