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Home  >>  JEEMAIN and NEET  >>  Mathematics  >>  Class11  >>  3-D Geometry

The equation of the plane that meets the coordinate axes at the points $A,B,C$ respectively and the centroid of the $\Delta\:ABC$ is $(2,1,5)$ is ?


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Let the points on the coordinate axes, at which the plane meets be $A(a,0,0),\:\:B(0,b,0)\:\:and\:\:C(0,0,c)$
$\therefore$ The equation of the plane is $\large\frac{x}{a}+\frac{y}{b}+\frac{z}{c}=1$
Given that the centroid of the triangle $ABC=(2,1,5)$
$\Rightarrow\:$ The equation of the plane is $\large\frac{x}{6}+\frac{y}{3}+\frac{z}{15}=1$
answered Jan 7, 2014 by rvidyagovindarajan_1

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