Question

If and be four points in a plane, show that PQRS is a rhombus but not a square. Find the area of the rhombus.

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Updated on : 2022-09-05
Solution
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The given points are P(2,-1), Q(3,4), R(-2,3) and S(-3,-2).We have




and, 

and, 
This means that PQRS is quadrilateral whose sides are equal but diagonals are not equal. 
Thus, PQRS is a rhombus but not a square.
.Now, Area of rhombus PQRS=


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