A plane II passes through the point (1,1,1).If `b,c,a` are the direction ratios of a normal to the plane where `a,b,c(altbltc)` are the prime factors of 2001, then the equation of the plane II isA. `29x+31y+z=63`B. `23x+29y-29z=23`C. `23x+29y+3z=55`D. `31x+37y+3z=71`

A plane II passes through the point (1,1,1).If `b,c,a` are the directi

1.	A plane II passes through the point (1,1,1).If `b,c,a` are the direction ratios of a normal to the plane where `a,b,c(altbltc)` are the prime factors of 2001, then the equation of the plane II isA. `29x+31y+z=63`B. `23x+29y-29z=23`C. `23x+29y+3z=55`D. `31x+37y+3z=71`
Answer» Correct Answer - C The equation of the plane is `b(x-1)+c(y-1)+a(z-1)=0`……………i Now, `2001=3xx23xx29` `:.altbltcimpliesa=3,b=23` and `c=29` Subsituting the values a,b,c in i we obtain `23x+29y+3z=55` as the equation of the required plane.

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