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JEE Advanced Mathematics question

MathematicsThree Dimensional GeometryJEE Advanced

A plane passes through and is perpendicular to the planes and . Then the distance of that plane from the point is

Answer: (D)

Solution

The normal of the required plane is perpendicular to both given normals and :

Missing argument for \vec\vec n = (2,-2,1)×(1,-1,2) = Missing or unrecognized delimiter for \big\big((-2)(2) - (1)(-1),\ (1)(1) - (2)(2),\ (2)(-1) - (-2)(1)Missing or unrecognized delimiter for \big\big) =

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Question ID VK-110522