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Opposite Angles of a Parallelogram Are Equal

The maximum n...

Question

The maximum number of normals that can be drawn from any point to the ellipse $\frac{x^{2}}{a^{2}} + \frac{y^{2}}{b^{2}} = 1$ are

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Solution

Ellipse: $\frac{x^{2}}{a^{2}} + \frac{y^{2}}{b^{2}} = 1$
Maximum number of normals are possible when the point is in the ellipse is $4$ .

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