Let ABCD be a quadrilateral with , and . If its area is times the area of the parallelogram with AB, AD as adjacent sides, then the value of is equal to
(A)
(B)Correct
(C)
(D)1
Answer: (B)
Solution
The area of a quadrilateral with diagonals and is . Here . So $×=(3Missing argument for \bar\bar a+2Missing argument for \bar\bar b)×(Missing argument for \bar\bar b-Missing argument for \bar\bar a)=3Missing argument for \bar\bar a×Missing argument for \bar\bar b-2Missing argument for \bar\bar b×Missing argument for \bar\bar
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