VITEEE 2012 Paper

Let the equation of the required plane be

x

a

+

y

b

+

z

c

= 1
This meets the coordinate axes at A, B and C, the coordinates of the centroid of Δ ABC are (

a

3

,

b

3

,

c

3

)
∴

a

3

= 1 ,

b

3

= 6 ,

c

3

= 3
⇒ a = 3 , b = 6 , c = 9
Hence, the equation of the plane is

x

3

+

y

6

+

z

9

= 1