Maximum number of parabolas that can be drawn with a given axis and tangent at vertex.
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If the equation of axis and the tangent at vertex are given, then what is the maximum number of parabolas that can be drawn? My approach is this: Since the equation of axis and tangent at the vertex is fixed, then only 1 parabola is possible. Am I right? Or are there infinitely-many parabolas that can drawn by the given condition?
conic-sections
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edited 2 days ago
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asked 2 days ago
saket kumar saket kumar