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JEE Main20252 Apr 2025Evening ShiftMathematicsStraight LinesActual

Let A (4,-2), B (1,1) and C (9,-3) be the vertices of a triangle A B C . Then the maximum area of the parallelogram AFDE , formed with vertices D , E and F on the sides BC , CA and AB of the triangle ABC respectively, is ______ .

Correct answer

0

Step-by-step solution

Area of ABC = 1 2 | array ccc 4 & -2 & 1 1 & 1 & 1 9 & -3 & 1 array | =6 square units Maximum area of AFDE = 1 2 6=3 sq. units

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