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Question -

Draw the graphs of theequations = 3, = 5 and 2– –4 = 0. Also find the area of the quadrilateral formed by the lines andthe x–axis.



Answer -

Solution:

Given equation oflines x = 3, x = 5 and 2x-y-4 = 0.

Table for line 2x – y– 4 = 0

x

0

2

y

-4

0

Plotting the graph, weget,

From the graph, weget,

AB = OB-OA = 5-3 = 2

AD = 2

BC = 6

Thus, quadrilateralABCD is a trapezium, then,

Area of QuadrileralABCD = ½ × (distance between parallel lines) = ½ × (AB) × (AD + BC)

= 8 sq units

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