1.

The vector equation of the plane through the point (2, 1, ?1) and passing through the line of intersection of the plane \[\mathbf{r}.(\mathbf{i}+3\mathbf{j}-\mathbf{k})=0\] and \[\mathbf{r}.(\mathbf{j}+2\mathbf{k})=0\] is

A.            \[\mathbf{r}.(\mathbf{i}+9\mathbf{j}+11\mathbf{k})=0\]
B.            \[\mathbf{r}.(\mathbf{i}+9\mathbf{j}+11\mathbf{k})=6\]
C.            \[\mathbf{r}.(\mathbf{i}-3\mathbf{j}-13\mathbf{k})=0\]
D.            None of these
Answer» B.            \[\mathbf{r}.(\mathbf{i}+9\mathbf{j}+11\mathbf{k})=6\]


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