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A plane meets the co-ordinate axes at A,...

A plane meets the co-ordinate axes at A,B,C and `(alpha,beta,gamma)` is the centroid
of the triangle ABC. Then the equation of the plane is

A

(a) `alphax+betay+gammaz=1`

B

(b) `(x)/(alpha)+(y)/(beta)+(z)/(gamma)=1`

C

(c) `(x)/(alpha)+(y)/(beta)+(z)/(gamma)=3`

D

(d) `(3x)/(alpha)+(3y)/(beta)+(3z)/(gamma)=1`

Text Solution

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The correct Answer is:
C
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