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Q.

A plane π passes through the point (1,1,1).  If b, c, a are the dr’s 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 π is

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a

29x+31y+3z=63

b

23x+29y29z=23

c

23x+29y+3z=55

d

31x+27y+3z=71

answer is C.

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Detailed Solution

2001=3×23×29  and (3+23+29)=55a=3,b=23,c=29

equation of plane is 23(x-1)+29(y-1)+3(z-1)=0

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