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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.

Text Solution

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The correct Answer is:
`x/3+y/-6+z/9=1`
Let the plane meet the coordiante axes at `A(a,0,0), B(0,b,0)` and `C(0,0,c)`. Then, `a/3=1,b/3=-2,c/3=3 rArr a=3,b=-6,c=9`.
`therefore` required equation of the plane is `x/3+y/-6+z/9=1`.
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