The reflection of the point `(2,-1,3) ` in the plane `3x-2y-z=9` is
(A) `(28/7,15/7,17/7)` (B) `(26/7,-15/7,17/7)` (C) `(15/7,26/,-17/7)` (D) `(26/7,17/7,-15/70)`

The direction cosines of a normal to the plane 2x-3y-6z+14=0 are (A) (2/7,(-3)/7,(-6)/7) (B) ((-2)/7,3/7,6/7) (C) ((-2)/7,(-3)/3,(-6)/7) (D) none of these

7.The distance of the point P(1,7) from the y -axis is : (a) 1 (b) 7 (c) 6 (d) 8

If projections of as line on x,y and z axes are 6,2 and 3 respectively, then directions cosines of the lines are (A) (6/2,2/7,3/7) (B) (3/5,5/7,6/7) (C) (1/7,2/7,3/7) (D) none of these

The directionratios of the line which is perpendicular to the lines (x-7)/2=(y+17)/(-3)=z-6 and x+5=(y+3)/2=(z-4)/(-2) are (A) (4,5,7) (B) (4,-5,7) (C) (4,-5,-7) (D) (-4,5,7)

The directionratios of the line which is perpendicular to the lines (x-7)/2=(y+17)/(-3)=z-6 and x+5=(y+3)/2=(z-4)/(-2) are (A) (4,5,7) (B) (4,-5,7) (C) (4,-5,-7) (D) (-4,5,7)

The point of intersection of tangent to the curve y=x^4 at (1,1) with the normal to the same curve at (-1,1) is (A) ((17)/(15),(13)/(15)) (B) (7/5,3/5) (C) ((17)/(15),(23)/(15)) (D) does not exist

The inverse of the matrix [(2,3),(-4,7)] is (A) [(-2,-3),(4,-7)] (B) 1/26 [(7,-3),(4,2)] (C) [(7,4),(-3,2)] (D) [(7,-3),(4,2)]

The equation of the plane passing through the point (1,1,-1) and perpendicular to the planes x+2y+3z-7=0 and 2x-3y+4z=0 is (a) 17 x+2y-7z=26 (b) 17 x-2y+7z=26 (c) 17 x+2y-7z+26=0 (d) 17 x-2y+7z+26=0

The range of the function f(x)=(x^2+x+2)/(x^2+x+1),x in R , is (1,oo) (b) (1,(11)/7) (1,7/3) (d) (1,7/5)

The distance between the parallel lnes y=2x+4 and 6x-3y-5 is (A) 1 (B) 17/sqrt(3) (C) 7sqrt(5)/15 (D) 3sqrt(5)/15