A Plane meets the co-ordinate axes at P, Q and R such that the position vector of the centroid of \[\Delta PQR\] is \[2\mathbf{i}-5\mathbf{j}+8\mathbf{k}\]. Then the equation of the plane is [J & K 2005]

\[\mathbf{r}.(20\mathbf{i}-8\mathbf{j}+5\mathbf{k})=1\]

\[\mathbf{r}.(20\mathbf{i}-8\mathbf{j}+5\mathbf{k})=120\]

\[\mathbf{r}.(20\mathbf{i}-8\mathbf{j}+5\mathbf{k})=1\]

\[\mathbf{r}.(20\mathbf{i}-8\mathbf{j}+5\mathbf{k})=2\]

\[\mathbf{r}.(20\mathbf{i}-8\mathbf{j}+5\mathbf{k})=20\]

A Plane meets the co-ordinate axes at P, Q and R such that the positio

1.	A Plane meets the co-ordinate axes at P, Q and R such that the position vector of the centroid of \[\Delta PQR\] is \[2\mathbf{i}-5\mathbf{j}+8\mathbf{k}\]. Then the equation of the plane is [J & K 2005]
A.	\[\mathbf{r}.(20\mathbf{i}-8\mathbf{j}+5\mathbf{k})=120\]
B.	\[\mathbf{r}.(20\mathbf{i}-8\mathbf{j}+5\mathbf{k})=1\]
C.	\[\mathbf{r}.(20\mathbf{i}-8\mathbf{j}+5\mathbf{k})=2\]
D.	\[\mathbf{r}.(20\mathbf{i}-8\mathbf{j}+5\mathbf{k})=20\]
Answer» B. \[\mathbf{r}.(20\mathbf{i}-8\mathbf{j}+5\mathbf{k})=1\]

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A Plane meets the co-ordinate axes at P, Q and R such that the position vector of the centroid of \[\Delta PQR\] is \[2\mathbf{i}-5\mathbf{j}+8\mathbf{k}\]. Then the equation of the plane is [J & K 2005]

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