MHT CET 2024 Mathematics question

MathematicsThree Dimensional GeometryMHT CET 2024

A plane which is perpendicular to two planes 2z - 2y + z = 0 and x – y + 2z = 4, passes through (1, 2, 1). The distance of the plane from the point (2, 3, 4) is

Answer: (C)

Solution

Reading the first plane as (the printed "" is a typo), the normals are and . The required plane has normal . Through the plane is . Distance from :

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Question ID VK-094921