The direction cosines of any normal to the xy-plane are (A) 1,0,0 (B) 0,1,0 (C) 1,1,0 (D) 0,01

The direction cosines of x-axis are (A) 0,0,1 (B) 1,0,0 (C) 0,1,0 (D) 0,1,1

The direction ratios of a normal to the plane passing throuhg (0,0,1) ,(0,1,2) and (1,2,3) are proportional to

If the direction cosines of a straighat line are k,k,k the (A) kgt0 (B) 0ltklt1 (C) k=1 (D) k=1/sqrt(3) or -1/sqrt(3)

The direction cosines of line joining (1,-1,1) and (-1,1,1) are (A) 2,-2,0 (B) 1,-1,0 (C) 1/sqrt(2)-1/sqrt(2),0 (D) none of these

If the direction cosines of a line are 1/c,1/c,1/c rthen (A) c.0 (B) 0ltclt1 (C) c=+-sqrt(3) (D) cgt2

Write the direction-cosines of the line joining the points (1, 0, 0) and (0, 1, 1).

The direction ratios of normal of a plane passing through two points (0,1, 0) & (0, 0, 1) and makes an angle pi/4 with the plane y-z-5=0 are (A) (2,-sqrt2,sqrt2) (B) (sqrt2,-1,1) (C) (sqrt2,1,1) (D) (2,sqrt2,1)

The abscissa and ordinate of the origin are (a) (0, 0) (b) (1, 0) (c) (0, 1) (d) (1, 1)

The matrix of the transformation reflection in the line x+y=0 is (A) [(-1,0),(0,-1)] (B) [(1,0),(0,-1)] (C) [(0,1),(1,0)] (D) [(0,-1),(-1,0)]

If ax+by+c=0 is a normal to hyperbola xy=1 , then (A) alt0, blt0 (B) alt0, bgt0 (C) agt0, bgt0 (D) agt0, blt0