Given four points ,

MATHEMATICS · Single correct · ISC · Mathematics · Three-Dimensional Geometry · Three-Dimensional Geometry

Problem

Given four points

A(2,1,0)

B(1,0,1)

C(3,0,1)

and

D(0,0,2)

. Point

D

lies on a line

l

orthogonal to the plane determined by the points

A

B

and

C

. The equation of plane

ABC

is: (1)

x+y+z-3=0

(2)

y+z-1=0

(3)

x+z-1=0

(4)

2y+z-1=0