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Home  >>  JEEMAIN and AIPMT  >>  Mathematics  >>  Class11  >>  3-D Geometry
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The equation of the plane passing through the point $(1,1,1)$ and having direction ratios $b,c,a$ $(a < b < c)$, where $a,b,c$ are prime factors of $2001$ is ?

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The prime factors of $2001$ are $3,23\:and\:29$
Equation ofa plane passing through the point $(1,1,1)$ with $d.r.=(b,c,a)$ is given by
Since it is given that $a,b,c$ are prime factors of $2001$ and
$\therefore\:$The eqn.  of the plane  becomes $23x+29y+3z-23-29-3=0$


answered Jan 6, 2014 by rvidyagovindarajan_1

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