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MHT CET 2025 Mathematics question

MathematicsVector AlgebraMHT CET 2025

ABCD is 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

Answer: (B)

Solution

The area of a quadrilateral is . Here . So $×=(2Missing argument for \bar\bar a+3Missing argument for \bar\bar b)×(Missing argument for \bar\bar b-Missing argument for \bar\bar a)=2(Missing argument for \bar\bar a×Missing argument for \bar\bar b)-2(Missing argument for \bar\bar a×Missing argument for \bar\bar a)+3(Missing argument for \bar\bar b×Missing argument for \bar\bar b)-3(Missing argument for \bar\bar b×Missing argument for \bar\bar a)=2(Missing argument for \bar\bar

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Question ID VK-103339