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Draw the graphs of the following equa...

Draw the graphs of the following equations on the same graph paper: `2x+y=2;\ \ \ 2x+y=6` . Find the coordinates of the vertices of the trapezium formed by these lines. Also, find the area of the trapezium so formed.

Text Solution

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The correct Answer is:
8 sq units
The lines ` 2 x + y = 2 ` cuts the x-axis at `A(1, 0)` and the y- axis at `B(0, 2 )`
The lines ` 2x + y = 6 ` cuts the x-axis at `C(3, 0)` and the y -axis at `D(0, 6)`
Area of trap. ABDC = `ar(Delta OCD) - ar(Delta OAB)`
` " " = ((1)/(2)xx 3 xx 6) - ((1)/(2) xx 1 xx 2) = 8` sq units.
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