MHT CET 2023 Mathematics question

MathematicsThree Dimensional GeometryMHT CET 2023

If a line L is the line of intersection of the planes and . If line L makes an angle with the positive X-axis, then the value of is

Answer: (A)

Solution

The line of intersection is perpendicular to both normals and , so its direction is , i.e. direction ratios . Direction cosines are \frac{1}{\sqrt3}$(1, -1,

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Question ID VK-094617