• # question_answer The area of the triangle formed by the two lines and the x-axis is: A) 4 sq. units B) 6 sq. units C) 8 sq. units D) 12 sq. units

Solution :

Let us plot the graph of the lines given by the equations
$4x-3y=-4$ and $4x+3y=20.$.
For equation $4x-3y=-4$
 x $-1$ 2 5 y 0 4 8
For equation $4x+3y=20$
 x $-1$ 2 5 y 8 4 0
Plotting these points on the same graph paper, we get the following graph:
The vertices of the triangle formed by the two lines and the x-axis are $(-1,0),\,\,(2,4)$ and $(5,0)$.
Area of triangle formed by the two lines and the X-axis is shaded and given by
$\frac{1}{2}\times AQ\times h=\frac{1}{2}\times 6\times 4=12\,sq.\,units$
So option [d] is correct.

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