If p is the perpendicular distance from origin to the plane passing through (1, 0, 0), (0, 1, 0) and (0, 0, 1), then what is 3p^2 equal to?

NDA 2024 Mathematics question

If is the perpendicular distance from origin to the plane passing through , and , then what is equal to?

Answer: (D)

The plane with intercepts 1, 1, 1 on the axes is . Its distance from the origin is

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Question ID VK-029827