MHT CET 2022 Mathematics question

MathematicsThree Dimensional GeometryMHT CET 2022

The equation of the plane passing through the point (2, 2, 1) and the intersection of the planes x + 2y – 3z + 1 = 0 and 3x – 2y + 4z + 3 = 0 is

Answer: (D)

Solution

Any plane through the intersection of the two given planes is . It passes through : first expression , second , so and . Substituting: , i.e.

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Question ID VK-095806