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The vertices of a parallelogram A B C D ...

The vertices of a parallelogram `A B C D` are `A(3,1),B(13 ,6),C(13 ,21),` and `D(3,16)dot` If a line passing through the origin divides the parallelogram into two congruent parts, then the slope of the line is `(11)/(12)` (b) `(11)/8` (c) `(25)/8` (d) `(13)/8`

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Knowledge Check

  • The vertices of a parallelogram in order are A(1,2), B (4,y), C (x,6) and D(3,5) . Then (x,y) is :

    A
    `(6,3)`
    B
    `(3,6)`
    C
    `(5,6)`
    D
    `(1,4)`

  • The fourth vertex D of a parallelogram ABCD whose three vertices are A(-2,3), B(6,7) and C(8,3) is

    A
    `(0,1)`
    B
    `(0,-1)`
    C
    `(-1,0)`
    D
    `(1,0)`

  • If the points A(6,1),B(8,2),C(9,4),D(p,3) are the vertices of a parallelogram , taken in order , then the value of p is ,.

    A
    7
    B
    `-7`
    C
    6
    D
    10

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