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For what value (s) of a will the two poi...

For what value (s) of `a` will the two points `(1,a,1) and (-3,0,a)` lie on opposite sides of the plane `3x+4y-12z+13=0?`

A

`alt-1oragt1//3`

B

a=0 only

C

`0ltalt1`

D

`-1ltalt1`

Text Solution

Verified by Experts

The correct Answer is:
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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