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Draw the graphs of thefollowing equations on the same graph paper:`2x+y=2; 2x+y=6`. Find the coordinatesof the vertices of the trapezium formed by these lines. Also, find the areaof the trapezium so formed. |
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Answer» Correct Answer - 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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