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`

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

The line (x-3)/1=(y-4)/2=(z-5)/2 cuts the plane x+y+z=17 at

The equation of the plane through the line x+y+z+3=0=2x-y+3z+1 and parallel to the line x/1=y/2=z/3 is a. x-5y+3=7 b. x-5y+3z=7 c. x+5y=3z=7 d. x+5y+3z=-7

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=50c3x+4y+5z=49d.x+7y-5z=2

Let the equations of two planes be P_1: 2x-y+z=2 and P_2: x+2y-z=3 Equation of the plane which passes through the point (-1,3,2) and is perpendicular to each of the plane P_1 and P_2 is (A) x-3y-5z+20=0 (B) x+3y+5z-18=0 (C) x-3y-5z=0 (D) x+3y-5z=0

The equation of the plane thorugh the point (-1,2,0) and parallel to the lines x/3=(y+1)/0=(z-2)/(-1) and (x-1)/1=(2y+1)/2=(z+1)/(-1) is (A) 2x+3y+6z-4=0 (B) x-2y+3z+5=0 (C) x+y-3z+1=0 (D) x+y+3z-1=0

The distance between the line (x-2)/(1)=(y-3)/(1)=(z-4)/(5) and the plane 2x+3y-z+5=0 is

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