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For any point on any curve there exist two normals.

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For any point on any curve there exist two normals.

(a) True

(b) False

This question was addressed to me during an online exam.

Question is from Drawing Tangents and Normals for Different Conditions of Circle topic in chapter Geometrical Construction of Engineering Drawing

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Correct option is (b) False

For explanation I would say: Here we take point on the curve. There exist multiple tangents for some curve which are continuous, trigonometric curves, hyperbola etc. But for curves like circles, parabola, ellipse, cycloid etc. have only one tangent and normal.

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