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VITEEE 2012 Paper

Section: Mathematics

Question : 113 of 120

Marks: +1, -0

Solution:

Let the equation of the required plane be

\frac{x}{a}+\frac{y}{b}+\frac{z}{c}

= 1

This meets the coordinate axes at A, B and C, the coordinates of the centroid of Δ ABC are

\left(\frac{a}{3},\frac{b}{3},\frac{c}{3}\right)

∴

\frac{a}{3}

= 1 ,

\frac{b}{3}

= 6 ,

\frac{c}{3}

= 3

⇒ a = 3 , b = 6 , c = 9

Hence, the equation of the plane is

\frac{x}{3}+\frac{y}{6}+\frac{z}{9}

= 1

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