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The vertices of a quadrilateral in order...

The vertices of a quadrilateral in order are `(-2,3),(-3,-2) , (2,-1) and (x,y)` . If its area is 14 sq. units , then show that x + y = 2.

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Knowledge Check

  • Three vertices of a quadrilateral in order are (6,1)(7,2)" and "(-1,0) . If the area of the quadrilateral is 4 sq. unit. Then the locus of the fourth vertex has the equation.

    A
    `x+7y=1`
    B
    `x-7y+15=0`
    C
    `(x-7y)^(2)+2(x-7y)-3=0`
    D
    `(x+7y)^(2)+14(x+7y)-15=0`

  • Area of quadrilateral formed by straight lines 2x =- 5 , 2y = 3 , x=1 and y + 2 = 0 is

    A
    `(21)/(2)` sq. unit
    B
    `(49)/(4)` sq. unit
    C
    `(21)/(8)` sq. unit
    D
    `(7)/(4)` sq. unit

  • Area of quadrilateral formed by striahgt lines x =1, x = 3, y =2 and y = x + 3 is

    A
    6 sq. unit
    B
    12 sq. unit
    C
    3 sq. unit
    D
    None of these

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