The number of distinct real values of `lamda` for which `(x-1)/1=(y-2)/2=(z+3)/(lamda^(2))` and `(x-3)/1=(y-2)/(lamda^(2))=(z-1)/2` are coplanar, is

The number of distinct real values of lambda for which the lines (x-1)/(1)=(y-2)/(2)=(z+3)/(lambda^(2)) and (x-3)/(1)=(y-2)/(lambda^(2))=(z-1)/(2) are coplanar is

The number of distinct real values of lamda for which the lines (x-1)/(1) = (y-2)/(2) = (z +3)/( lamda ^(2)) and (x-3)/(1) = (y-2)/(lamda ^(2)) = (z-1)/(2) are coplanar is

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.

The value of lamda for which the lines (x-1)/1=(y-2)/(lamda)=(z+1)/(-1) and (x+1)/(-lamda)=(y+1)/2=(z-2)/1 are perpendicular to each other is

The value of lamda for which the lines (x-1)/1=(y-2)/(lamda)=(z+1)/(-1) and (x+1)/(-lamda)=(y+1)/2=(z-2)/1 are perpendicular to each other is

If the lines (x-2)/(1)=(y-3)/(1)=(z-4)/(lamda) and (x-1)/(lamda)=(y-4)/(2)=(z-5)/(1) intersect then

If the lines (x-2)/(1)=(y-3)/(1)=(z-4)/(lamda) and (x-1)/(lamda)=(y-4)/(2)=(z-5)/(1) intersect then

The number of distinct real values of lamda , for which the vectors -lamda^(2)hati+hatj+hatk, hati-lamda^(2)hatj+hatk and hati+hatj-lamda^(2)hatk are coplanar, is

Find the value of lamda so that the lines (1-x)/(3)=(7y-14)/(2lamda)=(z-3)/(2) and (7-7x)/(3lamda)=(y-5)/(1)=(6-z)/(5) are at right angles.

Find the value of lamda so that the lines (1-x)/(3)=(7y-14)/(2lamda)=(z-3)/(2) and (7-7x)/(3lamda)=(y-5)/(1)=(6-z)/(5) are at right angles.