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JEE Advanced Mathematics question

MathematicsThree Dimensional GeometryJEE Advanced

The direction cosines of a line parallel to the planes and are

Answer: (C)

Solution

A line parallel to both planes is perpendicular to both normals, so its direction is

(3,4,1)×(1,-2,-3)=Missing or unrecognized delimiter for \big\big(4(-3)-1(-2),\ 1·1-3(-3),\ 3(-2)-4·1Missing or unrecognized delimiter for \big\big)=(-10,10,-10)(-1,1,-1).

Th

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Question ID VK-109863