Write the condition of orthogonality of two intersecting curves
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Definition Two intersecting curves are orthogonal if they meet at right angles. Obviously, two lines are orthogonal if and only if they are perpendicular. is the line through P perpendicular to OP. Conversely, the line through P perpendicular to the tangent at P is a diameter of C.
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Two lines are orthogonal, or perpendicular, if their slopes are negative reciprocals of each other. Curves are said to be perpendicular if their slopes at the point of intersection are perpendicular.
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