Q.
The coplanar points 3,2,5,2,1,1,−1,4,1,0,5,5 form a
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a
Parallelogram
b
Square
c
rhombus
d
rectangle
answer is B.
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Detailed Solution
Given points are A3,2,5,B2,1,1,C−1,4,1,D0,5,5The lengths of the sides AB=1+1+16=18BC=9+9+0=18AC=16+4+16=36BD=4+16+16=36 Observing the adjacent sides AB,BCare equal, and the lengths of the diagonal are equalDiagonals are equal, and adjacent sides are equal Therefore, the quadrilateral formed by the given vertices is square.