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JEE MATHEMATICS MCQ: 2D GEOMETRY SYSTEM

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Application +4 | -1
If the points (k,2−2k),(1−k,2k)(k, 2-2 k),(1-k, 2 k) and (−k−4,6−2k)(-k-4,6-2 k) be collinear, then the possible values of kk are
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Correct option: A
12,−1\frac{1}{2},-1
Option A (12,−1\frac{1}{2},-1) is correct because these values of k make the determinant of the matrix formed by the points equal to zero, indicating collinearity.

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