The lines which intersect the skew lines `y=m x ,z=c ; y=-m x ,z=-c` and the x-axis lie on the surface a. `c z=m x y` b. `x y=c m z` c. `c y=m x z` d. none of these

The lines which intersect the skew lines y=mx,z=c;y=-mx,z=-c and the x- axis lie on the surface a.cz=mxy b.xy=cmz c.cy=mxz d.none of these

If the lines x=ay +b, z=cy+d and x=a'y + b', z=c'y + d' are perpendicular, then

Value of [[x+y, z,z ],[x, y+z, x],[y, y, z+x]], where x ,y ,z are nonzero real number, is equal to x y z b. 2x y z c. 3x y z d. 4x y z

The equation of the plane through the intersection of the plane a x+b y+c z+d=0\ a n d\ l x+m y+n+p=0 and parallel to the line y=0,\ z=0. (A) (b l-a m)y+(c l-a n)z+d l-a p=0 (B) (a m-b l)x+(m c-b n)z+m d-b p=0 (c) (n a-c l)d+(b n-c m)y+n d-c p=0 (D) None of these

The equation of the plane through the intersection of the plane a x+b y+c z+d=0\ a n d\ l x+m y+n+p=0 and parallel to the line y=0,\ z=0. (A) (b l-a m)y+(c l-a n)z+d l-a p=0 (B) (a m-b l)x+(m c-b n)z+m d-b p=0 (c) (n a-c l)d+(b n-c m)y+n d-c p=0 (D) None of these

A point (x,y,z) moves parallel to x axis. Which of the three variables x,y,z remains fixed? (A) x and y (B) y and z (C) z and x (D) none of these

A point (x,y,z) moves parallel to x axis. Which of the three variables x,y,z remains fixed? (A) x and y (B) y and z (C) z and x (D) none of these

Given a=x/(y-z),b=y/(z-x), and c=z/(x-y), where x,y,z and are not all zero,then the value of ab+bc+ca is 0 b.1 c.-1 none of these