JEE Main 2022 Mathematics question
Let the system of linear equations , 3x + y + z = 4, x + 2z = 1 have a unique solution (x*, y*, z*). If (, x*), (y*, ) and (x*, −y*) are collinear points, then the sum of absolute values of all possible values of is
Answer: (3)
Solution
Solving the three equations, x* = 1, y* = 1 and z* = 0 (for a unique solution −3). The points (, 1), (1, ) and (1, −1)
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