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Rajan@2021
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Solve the equations graphically and find the vertices and the area of the triangle formed by these lines and the x-axis: 2x-3y+4=0, x+2y-5=0

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Sir please give me a detailed solution of these questions

2x-3y+4=0, x+2y-5=0

In the given equations we have to  solve the equations graphically and also asked to find the vertices and the area of the triangle formed by these lines and the x-axis

RS Aggarwal, Class 10, chapter 3A, question no 12

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1 Answer

  1. 2x3y+4=0….(1)
    x+2y5=0……(2)
    Isolate x from equation (1) and find the value of x and y.
    2x3y+4=0
    or x=(3y4)/2

      x y
    2 0
      1 2
      4 4

    Similarly, isolate x from equation (2) and find the values of x and y.
    x+2y5=0
    or x=52y

    x   y
    5   0
    3   1
    1   2

    Graph:
    Now,
    Find the area of triangle BAD:
    Area of BAD=1/2(base×altitude)
    =1/2×7×2
    =7 sq.units.

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