Image of point (3,5,7) in the plane 2x+y+z+18=0
(A) (-1,-1,-1) (B) (-21,-7,-5) (C) (-24,-12,-12) (D) (0,0,0)

Find the image of the point P(3,5,7) in the plane 2x+y+z=0

The image of the point (1, 3, 4) in the plane 2x-y+z+3=0 is (3,\ 5,\ 2) b. (-3,5,\ 2) c. (3,\ 5,\ -2) d. (3,\ -5,\ 2)

A point on the line (x-1)/1=(y-2)/2=(z+1)/3 at a distance sqrt(6) from the origin is (A) ((-5)/7, (-10)/7,13/7) (B) (5/7,10/7,(-13)/7) (C) (1,2,-1) (D) (-1,-2,1)

The pair of points which lie on the same side of the straight line 3x-3y-7=0 is (A) (0, -1) (0,0) (B) (0, 1), (3, 0) (C) (-1, -1), (3, 7) (D) (24, -3), (1, 1)

Let A and B be two matrices of the same order 3xx3 such that A=[(-5,1,3),(7,1,-5),(1,-1,1)] and B=[(1,1,2),(3,2,1),(2,1,3)] x+y+2z=1, 3x+2y+z=7 and 2x+y+3z=2 be a system of equatons in x,y,z The value of AB and hence solve the system of equation (A) [(-5,1,5),(21,2,-5),(2,-1,3)] (B) [(4,0,0),(0,4,0),(0,0,4)] (C) [(0,0,1),(0,1,0),(1,0,0)] (D) [(2,-5,1),(1,3,6),(0,0,-0)]

Which pair of points lies on the same side of 3x-8y-7=0? a) (0,-1) and (0,0) b) (4,-3) and (0,1) c) (-3,-4)and(1,2) d) (-1,-1) and (3,7)

The lines 2x+y=5 and x+2y=4 intersect at the point br> (A) (1,2) (B) (2,1) (C ) (frac(5)(2),0) (D) (0,2)

A plane which passes through the point (3,2,0) nd the line (x-4)/1=(y-7)/5=(z-4)/4 is (A) x-y+z=1 (B) x+y+z=5 (C) x+2y-z=1 (D) 2x-y+z=5

Find the equations of the plane passing through the following points : (i) A(2,1,0), B(3,-2,-2), C(3,1,7) (ii) A(1,1,1), B(1,-1,2), C(-2,-2,2) (iii) A(0,-1,0), B(2,1,-1), C(1,1,1) (iv) A(1,-2,5), B(0,-5,-1), C(-3,5,0) (v) (4,-1,-1), B(2,0,2),C(3,-1,2)

Find the distance of the point (1,2,0) from the plane 4x+3y+12z+16=0