The vertices of a triangle ABC are A = (2,0,2), B(-1,1,1) and C = (1-2,4). The...

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The vertices of a triangle ABC are A = (2,0,2), B(-1,1,1) and C = (1-2,4). The points D and E divide the sides AB and CA in the ratio 1:2 respectively. Another point F is taken in space such that the perpendicular drawn from F to the plane containing AABC, meets the plan at the point of intersection of the line segment CD and BE. If the distance of F from the plane of triangle ABC is 2 units, then (A) (B) (C) (D) 7 the volume of the tetrahedron ABCF is cubic units 3 7 the volume of the tetrahedron ABCF is cubic units 6 one of the equation of the line AF is r(21+2k)+(2k-1) ( =R) one of the equation of the line AF is r = (21+2k) + (+i (2 +7k) The vertices of a triangle ABC are A = (2,0,2), B(-1,1,1) and C = (1-2,4). The points D and E divide the sides AB and CA in the ratio 1:2 respectively. Another point F is taken in space such that the perpendicular drawn from F to the plane containing AABC, meets the plan at the point of intersection of the line segment CD and BE. If the distance of F from the plane of triangle ABC is 2 units, then (A) (B) (C) (D) 7 the volume of the tetrahedron ABCF is cubic units 3 7 the volume of the tetrahedron ABCF is cubic units 6 one of the equation of the line AF is r(21+2k)+(2k-1) ( =R) one of the equation of the line AF is r = (21+2k) + (+i (2 +7k)

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