For what value (s) of a will the two points `(1,a ,1)a n d(-3,0,a)` lie on opposite sides of the plane `3x+4y-12 z+13=0?` a. `a >-1ora >1//3` b. `a=0` only c. `0A. `alt-1oragt1//3`
B. a=0 only
C. `0ltalt1`
D. `-1ltalt1`

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Correct Answer - a
We must have `(3+ 4a -12+13)(-9-12a+13) lt 0`.
or `" "(a+1)(12a-4) gt 0`
or `" " a lt -1 or a gt 1//3`

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