Answer :

Here given points are A (2, 0), B (9, 1), C (11, 6) and D (4, 4).


For a quadrilateral to be rhombus, all sides must be equal.



By distance formula,


XY =


For side AB,


AB =


=


= units.


For BC,


BC =


=


= units


CD =


=


= units.


AD =


=


= units.


Here all sides are unequal.


Hence □ABCD is not a rhombus.


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