A plane passes through the point

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

Problem

(1, 1, 1)

. If

b, c, a

are the direction ratios of a normal to the plane where

a, b, c

(

a < b < c

) are the prime factors of 2001, then the equation of the plane

\Pi

is (1)

29x + 31y + 3z = 63

(2)

23x + 29y - 29z = 23

(3)

23x + 29y + 3z = 55

(4)

31x + 37y + 3z = 71