If the two lines `(x-1)/(2)=(y+1)/(3)=(z-1)/(4)and(x-3)/(1)=(y-m)/(2)=z` intersect at a point, find the value of m.

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 find the value of k.

Show that the lines (x-1)/(3)=(y-1)/(-1)=(z+1)/(0) and (x-4)/(2)=(y)/(0)=(z+1)/(3) intersect and hence find the point of intersection.

If the staight line (x-1)/k=(y-2)/2=(z-3)/3 and (x-2)/3=(y-3)/k =(z-1)/3 intersect at a point , then the integer k is equal to

If the straight lines (x-1)/(1)=(y-2)/(2)=(z-3)/(m^(2))and(x-3)/(1)=(y-2)/(m^(2))=(z-1)/(2) are coplanar, find the distinct real values of m.

if the lines (x-1)/2=(y-1)/3=(z-1)/4 and (x-3)/2=(y-k)/1=z/1 intersect then the value of k is (a) 1/3 (b) 2/3 (c) -1/3 (d) 1

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

If the lines (x-1)/(-3) =(y-2)/(2k) =(z-3)/2 and (x-1)/(3k)=(y-1)/1=(z-6)/(-5) are perpendicular , find the value of k .

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.

The straight lines (x-3)/(2)=(y+5)/(4)=(z-1)/(-13)and(x+1)/(3)=(y-4)/(5)=(z+2)/(2) are