Mathematics - 3D Coordinate Geometry Question with Solution | TestHub

Mathematics3D Coordinate GeometryCoordinates of a point in space, Direction cosines,Medium2 minQB
MathematicsMediumsingle choice

A rectangle ABCD of dimensions r and 2r is folded along the diagonal BD such that planes ABD and CBD are perpendicular to each other. Let the position of the vertex A remain unchanged and is the new position of C. If , then is equal to

Options:

Answer:
B
Solution:

Direction ratios of are , i.e. direction cosines (note ). BA is along the y-axis, so .

Stream:JEESubject:MathematicsTopic:3D Coordinate GeometrySubtopic:Coordinates of a point in space, Direction cosines,
⏱ 2mℹ️ Source: QB

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