ART 17. The length of perpendicular drawn from the point (3, -1,11) to the line y-2...

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ART 17. The length of perpendicular drawn from the point (3, -1,11) to the line y-2 Z-3 %3D 2 3 4 1) J66 2) /29 3) 33 4) J53 x-1 y-3 z-4 18. The image of the line 3 in the plane 2r -y +z+ 3 = 0 is the line -5 1) -*S-2 2) +5_z-2 -1 x-3 -5 -3 5 x+3 x+3 z+2 3) 3 4) -3 -5 -1 5 19. Let P be the image of the point (3,1,7) with respect to the plane x -y +z 3. Then the equation the plane passing through P and containing the straight line xyz %3D 121 1) x + y-3z = 0 2) 3x +z 0 3) x + 4y +7z = 0 4) 2x -y= 0 20. The distance of point A(-2, 3, 1) from the line PQ through P(-3, 5, 2), which makes equal d with the axes is 1) 2//3 2) V14/3 3) 16//3 4) 5//3 21. A plane which passes through the point(3, 2, 0) and the line 1 x-4y-7 z-4 is 4. %3D 1) x-y+z = 1 2) x + y + z = 5 3) x + 2y – 2 = 1 4) 2r – y +z = 5 x-1 y-2 z+3 1 2 2 22. The number of distinict real values of 2 for which the lines r-3 y-2 z-1 are coplanar is 1 1) 4 2) 1 3) 2 4) 3 23. If the straight lines x 1 + s, y = -3 - 2s, z = 1 + 2s and x=-,y=1+1,z=2-t with parame s and t, respectively, are coplanar, then 2 equals 1) -2 2) -1 3) 4) 0 x-2_y-1_z+2 24. Let the line 3 lie in the plane x+3y-az+B=0 then (a, B)= -5 1) (-6, 7) 2) (5, –15) 3) (-5, 5) 4) (6, –17) x-1 y-2 z-5 25. If the plane 4(x - 1) + k(y – 2) + 8(z –5) = 0 contains the line 2 , then k is 3 4 1) 2 2) 4 3) -8 4) 8 ART 17. The length of perpendicular drawn from the point (3, -1,11) to the line y-2 Z-3 %3D 2 3 4 1) J66 2) /29 3) 33 4) J53 x-1 y-3 z-4 18. The image of the line 3 in the plane 2r -y +z+ 3 = 0 is the line -5 1) -*S-2 2) +5_z-2 -1 x-3 -5 -3 5 x+3 x+3 z+2 3) 3 4) -3 -5 -1 5 19. Let P be the image of the point (3,1,7) with respect to the plane x -y +z 3. Then the equation the plane passing through P and containing the straight line xyz %3D 121 1) x + y-3z = 0 2) 3x +z 0 3) x + 4y +7z = 0 4) 2x -y= 0 20. The distance of point A(-2, 3, 1) from the line PQ through P(-3, 5, 2), which makes equal d with the axes is 1) 2//3 2) V14/3 3) 16//3 4) 5//3 21. A plane which passes through the point(3, 2, 0) and the line 1 x-4y-7 z-4 is 4. %3D 1) x-y+z = 1 2) x + y + z = 5 3) x + 2y – 2 = 1 4) 2r – y +z = 5 x-1 y-2 z+3 1 2 2 22. The number of distinict real values of 2 for which the lines r-3 y-2 z-1 are coplanar is 1 1) 4 2) 1 3) 2 4) 3 23. If the straight lines x 1 + s, y = -3 - 2s, z = 1 + 2s and x=-,y=1+1,z=2-t with parame s and t, respectively, are coplanar, then 2 equals 1) -2 2) -1 3) 4) 0 x-2_y-1_z+2 24. Let the line 3 lie in the plane x+3y-az+B=0 then (a, B)= -5 1) (-6, 7) 2) (5, –15) 3) (-5, 5) 4) (6, –17) x-1 y-2 z-5 25. If the plane 4(x - 1) + k(y – 2) + 8(z –5) = 0 contains the line 2 , then k is 3 4 1) 2 2) 4 3) -8 4) 8