1.

If r be position vector of any point on a sphere and a, b are respectively position vectors of the extremities of a diameter, then [MP PET 1994]

A.            \[\mathbf{r}\,.\,(\mathbf{a}-\mathbf{b})=0\]
B.            \[\mathbf{r}\,.\,(\mathbf{r}-\mathbf{a})=0\]
C.            \[(\mathbf{r}+\mathbf{a})\,.\,(\mathbf{r}+\mathbf{b})=0\]
D.            \[(\mathbf{r}-\mathbf{a})\,.\,(\mathbf{r}-\mathbf{b})=0\]
Answer» E.


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