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Find the set of all possible value of `alpha` for which point P(`alpha`,`3alpha`) lies on the smaller region of `9x^2+16y^2=144` divided by the line 3x+4y=12

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`9x^2+16y^2=144`
`x^2/16+y^2/9=1`
`3x+4y-12>0`
`3alpha+12alpha-12>0`
`15alpha>12`
`alpha>4/5`
`9alpha^2+16(9alpha)^2-144<0`
`17*9alpha^2-144<0`
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