Show that the lines `(x+3)/-3=(y-1)/1=(z-5)/5` and `(x+1)/-1=(y-2)/2=(z-5)/5`are coplanar. Also find the equation of the plane containing the lines.

Show that the lines (x-1)/2=(y-2)/3=(z-3)/4 and (x-2)/3=(y-3)/4=(z-4)/5 are coplanar. Also find the equation of the plane containing the lines.

Show that the lines (x-1)/(2)=(y-3)/(4)=-z and (x-4)/(2)=(y-1)/(-2)=(z-1)/(1) are coplanar Also find the equation of the plane containing the lines.

Show that the lines (x-1)/2=(y-3)/-1=(z)/-1 and (x-4)/3=(y-1)/-2=(z+1)/-1 are coplanar.

If the lines (x-2)/1=(y-3)/1=(z-4)/(-k) and (x-1)/k=(y-4)/2=(z-5)/1 are coplanar then k can have

Statement 1: The lines (x-1)/1=y/(-1)=(z+1)/1 and (x-2)/2=(y+1)/2=z/3 are coplanar and the equation of the plnae containing them is 5x+2y-3z-8=0 Statement 2: The line (x-2)/1=(y+1)/2=z/3 is perpendicular to the plane 3x+5y+9z-8=0 and parallel to the plane x+y-z=0

Show that the lines : (x+1)/3=(y+3)/5=(z+5)/7 and (x-2)/1=(y-4)/3=(z-6)/5 intersect each other. Also find their point of intersection.

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

Show that the lines: (x-1)/3=(y+1)/2=(z-1)/5 and (x-2)/4=(y-1)/3=(z+1)/-2 do not intersect.

Find the value of k for which the following lines are perpendicular to each other: (x+3)/(k-5)=(y-1)/(1)=(5-z)/(-2k-1),(x+2)/(-1)=(2-y)/(-k)=(z)/(5) Hence, find the equation of the plane containing the above lines.

Find the angle between the lines (x-3)/2=(y-5)/3=(z+5)/4 and (x+3)/1=(y-4)/2=(z-5)/1 .