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If `z` is any complex number such that `|3z-2|+|3z+2|=4` , then identify the locus of `zdot`

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`|3z-2|+|3z+2|=4`
`implies|z-(2)/(3)|+|z+(2)/(3)|=(4)/(3)" "(1)`
If P(z) be any point `A-=(-2//3,0),` then (1) represents
`PA+PB=4`
Clearly, `AB=4//3impliesPA+PB=AB`
`impliesP" lies on the line segment AB."`
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