If a plane meets the equations axes at `A ,Ba n dC`such that the centr – InterviewSolution

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1.	If a plane meets the equations axes at `A ,Ba n dC`such that the centroid ofthe triangle is `(1,2,4),`then find the equation of the plane.
Answer» Let the plane meet the coordinates axes at `A(a, 0, 0), B(0, b, 0), and C(0, 0, c).` Then, `" "a=3, b=6, c=12`. Hence, the equation of required plane is `(x)/(3)+(y)/(6)+(z)/(12)=1 or 4x+2y+z=12`

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