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 equation of y-axis are (A) x=0,y=0 (B) x=0,z=0 (C) y=0,z=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

If x % of a is the same as y % of b , then z % of b is a.(x y)/z % of a b. (y z)/x % of a c. (x z)/y % of a 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

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

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 average of six numbers is x and the average of three of these is y. If the average of the remaining three is z, then x=y+z (b) 2x=y+z( c) x=2y+2z(d) None of these

The distance of the point (x,y,z) from xy-plne is (A) x (B) |y| (C) z (D) |z|

If |[x+a, y+b, z+c] , [y+b, z+c, x+A] , [z+c, x+a, y+b]|=0 and a+c=-b then x,-y/2,z are in (A) A.P. (B) G.P. (C) H.P. (D) None of these