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Let the points of intersections of the lines `x -y +1 = 0, x -2y + 3 = 0 and 2x -5y + 11 = 0`are the mid points of the sides of a triangle ABC. Then the area of the triangle ABC is _______ .

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Knowledge Check

  • Point of intersection of two lines 3x+2y-7=0 and 5x+3y-11=0 is

    A
    (1,2)
    B
    (2,1)
    C
    (-1,-2)
    D
    (-2,-1)

  • In triangle ABC, the coordinates of the vertex A are , (4,-1) and lines x - y - 1 = 0 and 2x - y = 3 are the internal bisectors of angles B and C . Then the radius of the circles of triangle AbC is

    A
    `5/(sqrt(5))`
    B
    `3/(sqrt(5))`
    C
    `6/(sqrt(5))`
    D
    `7/(sqrt(5))`

  • Area of triangle formed by straight lines x - y = 0, x + y = 0 and 2 x = 1

    A
    `25`
    B
    `(25)/(2)`
    C
    `(25)/(4)`
    D
    None of these
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