If the plane `4(x-1)+k(y-2)+8(z-5)=0` contains the line `(x-1)/(2)=(y-2)/(4)=(z-5)/(3)` ,then `k` is

If the equation of the plane passing through (1,2,0) and which contains the line (x+3)/(3)=(y-1)/(4)=(z-2)/(-2) is 6x+lambda y+mu z=k then the value of (2 mu-5 lambda-k)(

If the distance between the plane 23x-10y-2z+48 =0 and the plane containing the lines (x+1)/2 =(y-3)/4= (z+1)/(3) and (x+3)/(2)=(y+2)/6 = (z-1)/(lambda)(lambda in R) is equal to k/sqrt(633) , then k is equal to __________.

Show that the plane X-5Y-2Z =1 contains the line (X-5)/3 = Y = 2- Z

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

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

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

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