MathematicsIf (−1,2) ,(4,1) ,(7,16) are three vertices of a parallelogram taken in order, then the fourth vertex and the areas of the parallelogram are:

If (−1,2) ,(4,1) ,(7,16) are three vertices of a parallelogram taken in order, then the fourth vertex and the areas of the parallelogram are:


  1. A
    (-4,3) , 16 sq. unit
  2. B
    (2,17 ) , 78 sq. unit
  3. C
    (-8,3) 24 sq. unit
  4. D
    (10,-5) 36 sq. unit 

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    Solution:

    Concept: A parallelogram is a 2-D geometrical shape, whose sides are parallel to each other.
    Let vertex D be(a,b )
    Slope of AB = Slope of DC
    Slope of BC = Slope of AD
    Hence, the correct option is 2.
     
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