A point `(x,y,z)` moves parallel to xy-plane. Which of the three variables `x,y,z` remains fixed?
(A) x
(B) y
(C) z
(D) xand y

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

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

A plane pi makes intercepts 3 and 4 respectively on z-axis and x-axis. If pi is parallel to y-axis, then its equation is (A) 3x-4z=12 (B) 3x+4z=12 (C) 3y+4z=12 (D) 3z+4y=12

For every point P(x ,\ y ,\ z) on the xy-plane, a. x=0 b. y=0 c. z=0 d. x=y=z=0

For every point P(x ,\ y ,\ z) on the xy-plane, a. x=0 b. y=0 c. z=0 d. x=y=z=0

The equation of the righat bisecting plane of the segment joiningteh points (a,a,a) and (-a,-a,-a),a!=0 is (A) x+y+z=a (B) x+y+z=3a (C) x+y+z=0 (D) x+y+z+a=0

Let the equation of the plane containing the line x-y - z -4=0=x+y+ 2z-4 and is parallel to the line of intersection of the planes 2x + 3y +z=1 and x + 3y + 2z = 2 be x + Ay + Bz + C=0 Compute the value of |A+B+C| .

A variable plane passes through a fixed point(3,2,1) and meets and axes at A,B,C respectively. A plane is drawn parallel to plane through a second plane is drawn parallel to plane through A,B,C . Then the locus of the point of intersection of these three planes, is : (a) 1/x+1/y+1/z =11/6 (b) x/3+y/2+z/1=1 (c) 3/x+2/y+1/z=1 (d) xy+z=6

Statement -1 If x,y,z be real variables satisfying x+y+z=6 and xy+yz+z=8 , the range of variables x,y and z are identical. Statement -2 x+y+z=6 and xy+yz+zx=8 remains same if x,y,z interchange their positions.

Let A={a,b,c,d} and B={x,y,z} . Which of the following are relations from A to B? {(a,y),(a,z),(c,x),(d,y)}