If `x=y=2z` and `x y z=256` , then `x=?` (a) 2 (b) 4 (c) 8 (d) None of these

If (x^(2)+y^(2)+z^(2)-64)/(xy-yz-zx)=-2 and x+y=3z, then the value of z is (a) 2 (b) 3 (c) 4 (d) None of these

If x+y:y+z:z+x=6:7:8 and x+y+z=14, find z (a) 6 (b) 7 (c) 8 (d) 10

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

If 2x+y=17;y+2z=15 and x+y=9 then what is the value of 4x+3y+z?(a)41 (b) 43(c)45 (d) 55 (e) None of these

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

The line (x-4)/1=(y-2)/1=(z-k)/2 lies exactly on the plane 2x-4y+z=7 then the value of k is (A) 7 (B) -7 (C) 1 (D) none of these

The image of plane 2x-y+z=2 in the plane mirror x+2y-z=3 is (a) x+7y-4x+5=0 (b) 3x+4y-5z+9=0( c) 7x-y+2z-9=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 2x=3y and 4y=5z, then z:z=4:3(b)8:153:4(d)15:8

If 2x+3y=31,backslash backslash y-z=4 and x+2z=11, then what is the value of x+y+z?( a )12 (b) 13 (c) 15 (d) 16