The plane which passes through the point `(3,2,0)` and the line `(x-3)/1=(y-6)/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`

Equation of the pane passing through the points (2,2,1)a n d(9,3,6),a n d_|_ to the plane 2x+6y+6z-1=0 is a. 3x+4y+5z=9 b. 3x+4y-5z=-9 c. 3x+4y-5z=9 d. none of these

Equation of the pane passing through the points (2,2,1)a n d(9,3,6),a n d_|_ to the plane 2x+6y+6z-1=0 is a. 3x+4y+5z=9 b. 3x+4y-5z=9 c. 3x+4y-5z=9 d. none of these

The equation of the plane passing through lines (x-4)/1=(y-3)/1=(z-2)/2a n d(x-3)/2=(y-2)/(-4)=z/5 is a. 11 x-y-3z=35 b. 11 x+y-3z=35 c. 11 x-y+3z=35 d. none of these

The equation of the plane which passes through the point of intersection of lines ""(x-1)/3=(y-2)/1=(z-3)/2"","and"(x-3)/1=(y-1)/2=(z-2)/3 and at greatest distance from point (0,0,0) is a. 4x+3y+5z=25 b. 4x+3y=5z=50 c. 3x+4y+5z=49 d. x+7y-5z=2

The equation of the plane passing through the point 1,1,1) and perpendicular to the planes 2x+y-2z=5a n d3x-6y-2z=7, is 14 x+2y+15 z=3 14 x+2y-15 z=1 14 x+2y+15 z=31 14 x-2y+15 z=27

Find the equation of the projection of the line (x-1)/2=(y+1)/(-1)=(z-3)/4 on the plane x+2y+z=9.

Equation of a line in the plane pi =2x-y+z-4=0 which is perpendicular to the line l whose equation is (x-2)/1=(y-2)/(-1)=(z-3)/(-2) and which passes through the point of intersection of l and pi is (A) (x-2)/1=(y-1)/5=(z-1)/(-1) (B) (x-1)/3=(y-3)/5=(z-5)/(-1) (C) (x+2)/2=(y+1)/(-1)=(z+1)/1 (D) (x-2)/2=(y-1)/(-1)=(z-1)/1

The line through of the plane passing through the lines (x-4)/(1)=(y-3)/(1)=(z-2)/(2) and (x-3)/(1)=(y-2)/(-4)=(z)/(5) is

Find the points where line (x-1)/2=(y+2)/(-1)=z/1 intersects x y ,y z and z x planes.

Check whether the line (x-1)/(4)=(y+2)/(5)=(z-7)/(6) lines in the plane 3x+2y+z=6 .