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JEE Main Mathematics question

MathematicsStraight LinesJEE Main

The coordinates of three vertices of a quadrilateral in order are , and . If the area of the quadrilateral is square units, then the locus of the fourth vertex is

Answer: (C)

Solution

With , , and fourth vertex , the area of is , and the signed area of is (with on the other side of from when this is positive). Convex case: gives

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Question ID VK-024531