Position of a Point with Respect to an Ellipse
Category : JEE Main & Advanced
Let \[P({{x}_{1}},{{y}_{1}})\]be any point and let \[\frac{{{x}^{2}}}{{{a}^{2}}}+\frac{{{y}^{2}}}{{{b}^{2}}}=1\] is the equation of an ellipse. The point lies outside, on or inside the ellipse as if \[{{S}_{1}}=\frac{x_{1}^{2}}{{{a}^{2}}}+\frac{y_{1}^{2}}{{{b}^{2}}}-1>,\,\,=,<0\]
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