The Cartesian equation of a line passing through (1, 2, 3) and parallel to planes x-y+2z=5 and 3x+y+z=6 is

MHT CET 2022 Mathematics question

The Cartesian equation of a line passing through and parallel to planes and is

Answer: (B)

A line parallel to both planes is perpendicular to both normals and , so its direction is . The line through is

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Question ID VK-097010