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Question
Draw the graphs of the lines 2x + y = 6 and 2x - y + 2 = 0. Shade the region bounded by these lines and the x - axis. Find the area of the shaded region.
Draw the graphs of the lines 2x + y = 6 and 2x - y + 2 = 0. Shade the region bounded by these lines and the x - axis. Find the area of the shaded region.
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Solution
ABC is the region bounded by the given lines and the x-axis.
The solution of the given pair of equations is the point where the two lines meet which is (1, 4). Thus, x = 1 and y = 4.
Area of shaded part = Area of
= 8 sq. units
ABC is the region bounded by the given lines and the x-axis.
The solution of the given pair of equations is the point where the two lines meet which is (1, 4). Thus, x = 1 and y = 4.
Area of shaded part = Area of
= 8 sq. units
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