Maximum number of parabolas that can be drawn with a given directrix and tangent at vertex.












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If the equation of the directrix and tangent at the vertex is given then the maximum number of parabola , which can be drawn is. ?



My approach is :- Since directrix can't be changed then only 1 parabola is possible.










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  • Am I Right ? I.e only one Parabola is possible
    – saket kumar
    2 days ago










  • If I am not correct then plz explain this in detail
    – saket kumar
    2 days ago






  • 1




    Where’s the vertex (and hence focus) of this one parabola? You’re making the same sort of mistake that you made in your previous question.
    – amd
    2 days ago


















0














If the equation of the directrix and tangent at the vertex is given then the maximum number of parabola , which can be drawn is. ?



My approach is :- Since directrix can't be changed then only 1 parabola is possible.










share|cite|improve this question







New contributor




saket kumar is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.




















  • Am I Right ? I.e only one Parabola is possible
    – saket kumar
    2 days ago










  • If I am not correct then plz explain this in detail
    – saket kumar
    2 days ago






  • 1




    Where’s the vertex (and hence focus) of this one parabola? You’re making the same sort of mistake that you made in your previous question.
    – amd
    2 days ago
















0












0








0







If the equation of the directrix and tangent at the vertex is given then the maximum number of parabola , which can be drawn is. ?



My approach is :- Since directrix can't be changed then only 1 parabola is possible.










share|cite|improve this question







New contributor




saket kumar is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.











If the equation of the directrix and tangent at the vertex is given then the maximum number of parabola , which can be drawn is. ?



My approach is :- Since directrix can't be changed then only 1 parabola is possible.







conic-sections






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saket kumar is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
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share|cite|improve this question







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saket kumar is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
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asked 2 days ago









saket kumarsaket kumar

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223




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New contributor





saket kumar is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.






saket kumar is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.












  • Am I Right ? I.e only one Parabola is possible
    – saket kumar
    2 days ago










  • If I am not correct then plz explain this in detail
    – saket kumar
    2 days ago






  • 1




    Where’s the vertex (and hence focus) of this one parabola? You’re making the same sort of mistake that you made in your previous question.
    – amd
    2 days ago




















  • Am I Right ? I.e only one Parabola is possible
    – saket kumar
    2 days ago










  • If I am not correct then plz explain this in detail
    – saket kumar
    2 days ago






  • 1




    Where’s the vertex (and hence focus) of this one parabola? You’re making the same sort of mistake that you made in your previous question.
    – amd
    2 days ago


















Am I Right ? I.e only one Parabola is possible
– saket kumar
2 days ago




Am I Right ? I.e only one Parabola is possible
– saket kumar
2 days ago












If I am not correct then plz explain this in detail
– saket kumar
2 days ago




If I am not correct then plz explain this in detail
– saket kumar
2 days ago




1




1




Where’s the vertex (and hence focus) of this one parabola? You’re making the same sort of mistake that you made in your previous question.
– amd
2 days ago






Where’s the vertex (and hence focus) of this one parabola? You’re making the same sort of mistake that you made in your previous question.
– amd
2 days ago












1 Answer
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If the directrix and the tangent line at the vertex are given but not the vertex, there exist infinitely many parabolas.

The vertex of such parabola is any point lying at this tangent line.

The width of all these parabolas is the same, because is uniquely determined by the distance between the two given lines ( they are parallel).






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    1 Answer
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    1 Answer
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    If the directrix and the tangent line at the vertex are given but not the vertex, there exist infinitely many parabolas.

    The vertex of such parabola is any point lying at this tangent line.

    The width of all these parabolas is the same, because is uniquely determined by the distance between the two given lines ( they are parallel).






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      2














      If the directrix and the tangent line at the vertex are given but not the vertex, there exist infinitely many parabolas.

      The vertex of such parabola is any point lying at this tangent line.

      The width of all these parabolas is the same, because is uniquely determined by the distance between the two given lines ( they are parallel).






      share|cite|improve this answer
























        2












        2








        2






        If the directrix and the tangent line at the vertex are given but not the vertex, there exist infinitely many parabolas.

        The vertex of such parabola is any point lying at this tangent line.

        The width of all these parabolas is the same, because is uniquely determined by the distance between the two given lines ( they are parallel).






        share|cite|improve this answer












        If the directrix and the tangent line at the vertex are given but not the vertex, there exist infinitely many parabolas.

        The vertex of such parabola is any point lying at this tangent line.

        The width of all these parabolas is the same, because is uniquely determined by the distance between the two given lines ( they are parallel).







        share|cite|improve this answer












        share|cite|improve this answer



        share|cite|improve this answer










        answered 2 days ago









        user376343user376343

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        2,9132823






















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