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JEE Advanced Mathematics question

MathematicsThree Dimensional GeometryJEE Advanced

The equation of the plane containing the straight line and perpendicular to the plane containing the straight lines and is

Answer: (C)

Solution

All three lines pass through the origin. The plane containing the last two lines has normal

(3,4,2)×(4,2,3) = (12-4, 8-9, 6-16) = (8, -1, -10),

i.e. it is .

The required plane passes through , contains

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Question ID VK-110755