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Question

Mathematics Question on Angle between a Line and a Plane

Let the foot of perpendicular from the point A(4, 3, 1) on the plane P : x - y + 2z + 3 = 0 be N. If B(5,α,β) ∈ Z is a point on plane P such that the area of the triangle ABN in 3√2 . then α2 + β2 + αβ is equal to ____ .

Answer

The correct option is: 7