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Find the number of rational points on the ellipse `(x^2)/9+(y^2)/4=1.`

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Find the number of rational points on the ellipse `(x^2)/9+(y^2)/4=1.`
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`(x^(2))/(9)+(y^(2))/(4)=1`
Let any point on the ellipse be `(3 cos theta, 2 sin theta)`
Sicne `sin theta and cos theta` can be rational for inifinitely many values of `theta epsi [0, 2pi]` , there infinite points.
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