A plane meets the co-ordinate axes in \[A,B,C\] and \[(\alpha ,\beta ,\gamma )\] is the centered of the triangle \[ABC\]. Then the equation of the plane is [MP PET 2004]

\[\frac{x}{\alpha }+\frac{y}{\beta }+\frac{z}{\gamma }=1\]

\[\frac{x}{\alpha }+\frac{y}{\beta }+\frac{z}{\gamma }=3\]

\[\frac{x}{\alpha }+\frac{y}{\beta }+\frac{z}{\gamma }=1\]

\[\frac{3x}{\alpha }+\frac{3y}{\beta }+\frac{3z}{\gamma }=1\]

\[\alpha x+\beta y+\gamma z=1\]

A plane meets the co-ordinate axes in \[A,B,C\] and \[(\alpha ,\beta ,

1.	A plane meets the co-ordinate axes in \[A,B,C\] and \[(\alpha ,\beta ,\gamma )\] is the centered of the triangle \[ABC\]. Then the equation of the plane is [MP PET 2004]
A.	\[\frac{x}{\alpha }+\frac{y}{\beta }+\frac{z}{\gamma }=3\]
B.	\[\frac{x}{\alpha }+\frac{y}{\beta }+\frac{z}{\gamma }=1\]
C.	\[\frac{3x}{\alpha }+\frac{3y}{\beta }+\frac{3z}{\gamma }=1\]
D.	\[\alpha x+\beta y+\gamma z=1\]
Answer» B. \[\frac{x}{\alpha }+\frac{y}{\beta }+\frac{z}{\gamma }=1\]

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A plane meets the co-ordinate axes in \[A,B,C\] and \[(\alpha ,\beta ,\gamma )\] is the centered of the triangle \[ABC\]. Then the equation of the plane is [MP PET 2004]

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