The normal line to a hyperbola at a point P on the hyperbola is the line through P that

Chapter 11, Problem 57

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The normal line to a hyperbola at a point P on the hyperbola is the line through P that is perpendicular to the tangent at P. If the coordinates of P are (x1, y1), show that theequation of the normal line is a2y1x b2x1y x1y11a2 b2 2

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