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JEE Main 2022 Mathematics question

MathematicsDeterminantsJEE Main 2022

If the system of linear equations 8x + y + 4z = −2 x + y + z = 0 has infinitely many solutions, then the distance of the point (, , −1/2) from the plane 8x + y + 4z + 2 = 0 is

Answer: (4)

Solution

The coefficient determinant is |8 1 4; 1 1 1; −3 0| = , which must vanish for infinitely many solutions, so . Then =

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Question ID VK-025166