Number of normals that can be drawn at the point $(- 2, 3)$ to the ellipse $3 x^{2} + 2 y^{2} = 30$ are

2

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3

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4

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1

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Solution

The correct option is D $1$
$(- 2, 3)$ lie on the given ellipse $3 x^{2} + 2 y^{2} = 30$ .
So, there is only one normal that can be drawn at the point $(- 2, 3)$ to the given ellipse.

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