What is an orthogonal trajectory?

Orthogonal trajectory is a curve in a given geometric plane that intersect another family of curves perpendicularly.

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Curves that intersect a given family of curves at right angles.

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Both A and B

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Only A

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Solution

The correct option is B Both A and B
Orthogonal trajectories are the curves that are drawn with respect to a given curve such that both the curves intersect at right angles or perpendicularly,i.e., the slope of any tangent drawn to the given curve is a normal to the other curve and vice versa.

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Slope of the tangent to a family of curve is given by $\frac{b y}{a x}$ . What is the slope of the tangent of the orthogonal trajectory of the curve?

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