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JEE Main 2019 Mathematics question

MathematicsThree Dimensional GeometryJEE Main 2019

The vector equation of the plane through the line of intersection of the planes x + y + z = 1 and 2x + 3y + 4z = 5 which is perpendicular to the plane x − y + z = 0 is:

Answer: (C)

Solution

⊥ (1, −1, 1) ⇒ λ = −1/3 ⇒ x − z + 2 = 0. (Options

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Question ID VK-009365