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A plane meets the coordinate axes at A ,...

A plane meets the coordinate axes at `A ,Ba n dC` respectively such that the centroid of triangle `A B C` is `(1,-2,3)dot` Find the equation of the plane.

A

`alphax+betay+gammaz=1`

B

`alpha^(2)x+beta^(2)y+gamma^(2)z=3`

C

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

D

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

Text Solution

Verified by Experts

The correct Answer is:
D
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