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:

# 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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