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Area of a Triangle

Check whether...

Question

Check whether the point P(3,2) lies inside or outside of the ellipse $; \frac{x_{2}^{1}}{a^{2}} + \frac{y_{2}^{1}}{b^{2}} - 1 = 0$

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Solution

$S_{1} = \frac{9}{25} + \frac{4}{16} - 1 = \frac{9}{25} + \frac{1}{4} - 1 < 0 ∴ P o i n t P = (3, 2)$ lies inside the ellipse.

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