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

For a 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-12x+13-0?`

A

` alt-1 or agt 1//3`

B

a=0 only

C

`0ltalt1`

D

` -1ltalt1`

Text Solution

Verified by Experts

The correct Answer is:
A
P{1,a.1)& Q(-3,0,a)
`3x+4y-12z+13=0 " "....(1)`
`:.` Points P Q lie on opposite sides of the plane (1), then
`rArr {3(1)+4(a)-12(1)+13}xx`
`" " {3(-3)+4(0)-12(a)+13}lt0`
`rArr(4a+4)(4-12a)lt0`
`rArr(a+1)(3a-1)gt0`
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