JEE Advanced Mathematics question

MathematicsVector AlgebraJEE Advanced

Let , and , where O, A and C are noncollinear points. Let denote the area of the quadrilateral OABC, and denote the area of the parallelogram with OA and OC as adjacent sides. Then is equal to

Answer: (B)

Solution

*(Figure: O at the origin, A at , C at , B at ; diagonal OB splits OABC into triangles OAB and OBC.)*

. The diagonal OB divides the quadrilateral into triangles OAB and OBC (B lies inside the angle AOC because both coefficients 10 and 2 are

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Question ID VK-109690