The image of the line `(x-1)/3=(y-3)/1=(z-4)/(-5)` in the plane `2x-y+z+3=0` is the line (1) `(x+3)/3=(y-5)/1=(z-2)/(-5)` (2) `(x+3)/(-3)=(y-5)/(-1)=(z+2)/5` (3) `(x-3)/3=(y+5)/1=(z-2)/(-5)` (3) `(x-3)/(-3)=(y+5)/(-1)=(z-2)/5`

The distance between the line (x-2)/(1)=(y-3)/(1)=(z-4)/(5) and the plane 2x+3y-z+5=0 is

The angle between the line (x-2)/1=(y+3)/-2=(z+4)/-3 and the plane 2x-3y+z=5 is

The line (x-3)/1=(y-4)/2=(z-5)/2 cuts the plane x+y+z=17 at

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)(d)(x)/(4)=(y-1)/(-7)=(z-2)/(5)(d)(x)/(2)=(y-1)/(-7)=(z-2)/(5)

The lines (x-2)/(1)=(y-3)/(2)=(z-4)/(3)and(x-1)/(-5)=(y-2)/(1)=(z-1)/(1) are

Find the angle betweenthe line (x-2)/-1=(y+3)/2=(z+4)/3 and the plane 2x-3y+z=5 .

Which of the following line is passing through point of intersection of line (x-4)/(2)=(y-3)/(2)=(z-5)/(1) and the plane x+y+z=2( a) (x)/(2)=(y+1)/(3)=(z-3)/(4) (b) (x-2)/(3)=(y-1)/(3)=(z-2)/(2)(c)(x-2)/(2)=(y+1)/(3)=(z-2)/(4)(d)(x-2)/(2)=(y+1)/(3)=(z+3)/(4)

Show that the lines (x+3)/(-3)=(y-1)/(1)=(z-5)/(5)(x+1)/(-1)=(y-2)/(2)=(z-5)/(5) are coplanar.

If the line (x-1)/2=(y+3)/1=(z-5)/(-1) is parallel to the plane px + 3y - z + 5 = 0 , then the value of p -