Let `lambda` be an interger. If the shortest distance between the lines `x - lambda = 2y - 1 = -2z` and `x = y + 2lambda= z-lambda` is `(sqrt7)/(2sqrt2)`, then the value of `|lambda|` is _______ .

If the shortest distance between the straight lines 3(x-1) = 6(y-2) = 2(z-1) and 4(x-2) = 2(y-lambda) = (z-3), lambda in R is (1)/(sqrt(38)) , then the integral value of lambda is equal to :

If the shortest distance between the lines (x-3)/(3)=(y-8)/(-1)=(z-3)/(1) and (x+3)/(-3)=(y+7)/(2)=(z-6)/(4) is lambdasqrt(30) unit, then the value of lambda is

If z=lambda+3+i sqrt(5-lambda^(2)), then the locus of z

If the angle between the line (x)/(1)=(y-1)/(2)=(z-3)/(lambda) and the plane x+2y+3z=4 is cos^(-1) sqrt((5)/(14)) , then the value of 3 lambda is equal to

If the angle theta between the line (x+1)/(1)=(y-1)/(2)=(z-2)/(2) and the plane 2x-y+sqrt(lambda)z+4=0 is such that sintheta=(1)/(3) . The value of lambda is

If the following equations x+y-3=0,(1+lambda)x+(2+lambda)y-8=0,x-(1+lambda)y+(2+lambda)=0 are consistent then the value of lambda is

Find the locus of the point of intersection of the lines sqrt(3x)-y-4sqrt(3 lambda)=0 and sqrt(3)lambda x+lambda y-4sqrt(3)=0 for different values of lambda.

A system of equations lambda x+y+z=1,x+lambda y+z=lambda,x+y+lambda z=lambda^(2) have no solution then value of lambda is

If the shortest distance between the lines frac{x - lambda} {-2} = frac{y - 2} {1} = frac{z - 1} {1} and frac{x - sqrt 3}{1} = frac{y-1}{-2} = frac{z-2}{1} is 1, then the sum of all possible values of lambda is :