A point on the line `(x-1)/1=(y-2)/2=(z+1)/3` at a distance `sqrt(6)` from the origin is (A) `((-5)/7, (-10)/7,13/7)` (B) `(5/7,10/7,(-13)/7)` (C) `(1,2,-1)` (D) `(-1,-2,1)`

The reflection of the point (2,-1,3) in the plane 3x-2y-z=9 is (A) (28/7,15/7,17/7) (B) (26/7,-15/7,17/7) (C) (15/7,26/,-17/7) (D) (26/7,17/7,-15/70)

The distance of the point P(1,-3) from the line 2y-3x=4 is (A) 13 (B) (7)/(13)sqrt(3) (C) sqrt(13) (D) (7)/(13)

The point of intersection of the lines (x-5)/3=(y-7)/(-1)=(z+2)/1 and (x+3)/(-36)=(y-3)/2=(z-6)/4 is (A) (21 ,5/3,(10)/3) (B) (2,10 ,4) (C) (-3,3,6) (D) (5,7,-2)

1-:(-5)/7= (a) 2/7 (b) 5/7 (c) -2/7 (d) (-7)/5

7.The distance of the point P(1,7) from the y -axis is : (a) 1 (b) 7 (c) 6 (d) 8

Perpendiculars are drawn from points on the line (x+2)/2=(y+1)/(-1)=z/3 to the plane x + y + z=3 The feet of perpendiculars lie on the line (a) x/5=(y-1)/8=(z-2)/(-13) (b) x/2=(y-1)/3=(z-2)/(-5) (c) x/4=(y-1)/3=(z-2)/(-7) (d) x/2=(y-1)/(-7)=(z-2)/5

If projections of as line on x,y and z axes are 6,2 and 3 respectively, then directions cosines of the lines are (A) (6/2,2/7,3/7) (B) (3/5,5/7,6/7) (C) (1/7,2/7,3/7) (D) none of these

If (x , y) is a variable point on the line y=2x lying between the lines 2(x+1)+y=0 and x+3(y-1)=0 , then (a) x in (-1/2,6/7) (b) x in (-1/2,3/7) (c) y in (-1,3/7) (d) y in (-1,6/7)

cos(pi/7) cos((3pi)/7) cos((5pi)/7) is (A) 1/8 (B) -1/8 (C) 1/(2sqrt2) (D) 1/2

Find the distance from the point P(3,8,1) to the line (x-3)/3=(y+7)/(-1)=(z+2)/5 .