JEE Main 2022 Mathematics question

MathematicsSolution of TrianglesJEE Main 2022

Let A, B, C be three points whose position vectors respectively are , , R, . If is the smallest positive integer for which , , are non collinear, then the length of the median, in , through A is:

Answer: (1)

Solution

, , 1) and , −6, 2) are parallel when ( − 4)/(−6) = 1/2, i.e. . So the points are collinear for , and the smallest positive integer for

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Question ID VK-035240