Find the equation of a plane which meets the axes in `A ,Ba n dC ,` given that the centroid of the triangle `A B C` is the point `(alpha,beta,gamma)`

Explanation

It is given in the question that the plane meets the axes in A, B, C
So now let us assume that


`A = (a, 0, 0), B = (0, b, 0)` and `C = (0, 0, c) `


Given that the centroid is `(alpha, beta, gamma )`
thus,


`(alpha, beta, gamma )=a/3,b/3,c/3`

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