A line with direction cosines proportional to `1,-5, a n d-2` meets lines `x=y+5=z+11a n dx+5=3y=2zdot` The coordinates of each of the points of the intersection are given by a. `(2,-3,1)` b. `(1,2,3)` c. `(0,5//3,5//2)` d. `(3,-2,2)`

A line with direction cosines proportional to 2,1,2 meet each of the lines x=y+a=z nd x+a=2y=2z . The coordinastes of each of the points of intersection are given by

A line with direction cosines proportional to 2,1,2 meet each of the lines x=y+a=z and x+a=2y=2z . The coordinastes of each of the points of intersection are given by (A) (3a,2a,3a),(a,a,2a) (B) (3a,2a,3a),(a,a,a) (C) (3a,3a,3a),(a,a,a) (D) (2a,3a,3a),(2a,a,a)

A line with direction cosines proportional to 2,1,2 meet each of the lines x=y+a=z and x+a=2y=2z . The coordinastes of each of the points of intersection are given by (A) (3a,2a,3a),(a,a,2a) (B) (3a,2a,3a),(a,a,a0 (C) (3a,3a,3a),(a,a,a) (D) 92a,3a,3a),(2a,a,a)

A line with cosines proportional to 2,7-5 drawn to intersect the lines (x-5)/3=(y-7)/-1=(z+2)/1 ; (x+3)/-3=(y-3)/2=(z-6)/4 .Find the co- ordinates of the points of intersection and the length intercepted on it.

Show that the lines x/1=(y-2)/2=(z+3)/3a n d(x-2)/2=(y-6)/3=(z-3)/4 intersect and find their point of intersection

Show that the line (x-1)/2=(y-2)/3=(z-3)/4a n d(x-4)/5=(y-1)/2 intersect. Find their point of intersection.

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)

The point of intersection of the two lines given by 2x^2-5xy +2y^2-3x+3y+1=0 is

Show that the two lines (x-1)/2=(y-2)/3=(z-3)/4 and (x-4)/5=(y-1)/2=z intersect. Find also the point of intersection of these lines.

Write the direction cosines of the line (x-2)/2=(2y-5)/(-3),\ z=2.