The cartesian equation of the line is 3x + 1 = 6y – 2 = 1 – z then its direction ratio are

The image of the point P(1, 3, 4) in the plane 2x – y + z = 0 is

Three planes x + y = 0, y + z = 0, and x + z = 0

The coordinate of foot of perpendicular drawn from the point A(1, 0, 3) to the join of the point B(4, 7, 1) and C(3, 5, 3) are

The locus of a point which moves so that the difference of the squares of its distances from two given points is constant, is a

The equation of the set of point P, the sum of whose distance from A(4, 0, 0) and B(-4, 0, 0) is equal to 10 is

The maximum distance between points (3sin θ, 0, 0) and (4cos θ, 0, 0) is

A vector r is equally inclined with the coordinate axes. If the tip of r is in the positive octant and |r| = 6, then r is

The plane 2x – (1 + a)y + 3az = 0 passes through the intersection of the planes

If the end points of a diagonal of a square are (1, -2, 3) and (2, -3, 5) then the length of the side of square is