Maximum number of parabolas that can be drawn with a given directrix and tangent at vertex.
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
New contributor
add a comment |
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
New contributor
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
add a comment |
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
New contributor
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
conic-sections
New contributor
New contributor
New contributor
asked 2 days ago
saket kumarsaket kumar
223
223
New contributor
New contributor
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
add a comment |
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
add a comment |
1 Answer
1
active
oldest
votes
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).
add a comment |
Your Answer
StackExchange.ifUsing("editor", function () {
return StackExchange.using("mathjaxEditing", function () {
StackExchange.MarkdownEditor.creationCallbacks.add(function (editor, postfix) {
StackExchange.mathjaxEditing.prepareWmdForMathJax(editor, postfix, [["$", "$"], ["\\(","\\)"]]);
});
});
}, "mathjax-editing");
StackExchange.ready(function() {
var channelOptions = {
tags: "".split(" "),
id: "69"
};
initTagRenderer("".split(" "), "".split(" "), channelOptions);
StackExchange.using("externalEditor", function() {
// Have to fire editor after snippets, if snippets enabled
if (StackExchange.settings.snippets.snippetsEnabled) {
StackExchange.using("snippets", function() {
createEditor();
});
}
else {
createEditor();
}
});
function createEditor() {
StackExchange.prepareEditor({
heartbeatType: 'answer',
autoActivateHeartbeat: false,
convertImagesToLinks: true,
noModals: true,
showLowRepImageUploadWarning: true,
reputationToPostImages: 10,
bindNavPrevention: true,
postfix: "",
imageUploader: {
brandingHtml: "Powered by u003ca class="icon-imgur-white" href="https://imgur.com/"u003eu003c/au003e",
contentPolicyHtml: "User contributions licensed under u003ca href="https://creativecommons.org/licenses/by-sa/3.0/"u003ecc by-sa 3.0 with attribution requiredu003c/au003e u003ca href="https://stackoverflow.com/legal/content-policy"u003e(content policy)u003c/au003e",
allowUrls: true
},
noCode: true, onDemand: true,
discardSelector: ".discard-answer"
,immediatelyShowMarkdownHelp:true
});
}
});
saket kumar is a new contributor. Be nice, and check out our Code of Conduct.
Sign up or log in
StackExchange.ready(function () {
StackExchange.helpers.onClickDraftSave('#login-link');
});
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Post as a guest
Required, but never shown
StackExchange.ready(
function () {
StackExchange.openid.initPostLogin('.new-post-login', 'https%3a%2f%2fmath.stackexchange.com%2fquestions%2f3062975%2fmaximum-number-of-parabolas-that-can-be-drawn-with-a-given-directrix-and-tangent%23new-answer', 'question_page');
}
);
Post as a guest
Required, but never shown
1 Answer
1
active
oldest
votes
1 Answer
1
active
oldest
votes
active
oldest
votes
active
oldest
votes
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).
add a comment |
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).
add a comment |
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).
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).
answered 2 days ago
user376343user376343
2,9132823
2,9132823
add a comment |
add a comment |
saket kumar is a new contributor. Be nice, and check out our Code of Conduct.
saket kumar is a new contributor. Be nice, and check out our Code of Conduct.
saket kumar is a new contributor. Be nice, and check out our Code of Conduct.
saket kumar is a new contributor. Be nice, and check out our Code of Conduct.
Thanks for contributing an answer to Mathematics Stack Exchange!
- Please be sure to answer the question. Provide details and share your research!
But avoid …
- Asking for help, clarification, or responding to other answers.
- Making statements based on opinion; back them up with references or personal experience.
Use MathJax to format equations. MathJax reference.
To learn more, see our tips on writing great answers.
Some of your past answers have not been well-received, and you're in danger of being blocked from answering.
Please pay close attention to the following guidance:
- Please be sure to answer the question. Provide details and share your research!
But avoid …
- Asking for help, clarification, or responding to other answers.
- Making statements based on opinion; back them up with references or personal experience.
To learn more, see our tips on writing great answers.
Sign up or log in
StackExchange.ready(function () {
StackExchange.helpers.onClickDraftSave('#login-link');
});
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Post as a guest
Required, but never shown
StackExchange.ready(
function () {
StackExchange.openid.initPostLogin('.new-post-login', 'https%3a%2f%2fmath.stackexchange.com%2fquestions%2f3062975%2fmaximum-number-of-parabolas-that-can-be-drawn-with-a-given-directrix-and-tangent%23new-answer', 'question_page');
}
);
Post as a guest
Required, but never shown
Sign up or log in
StackExchange.ready(function () {
StackExchange.helpers.onClickDraftSave('#login-link');
});
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Post as a guest
Required, but never shown
Sign up or log in
StackExchange.ready(function () {
StackExchange.helpers.onClickDraftSave('#login-link');
});
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Post as a guest
Required, but never shown
Sign up or log in
StackExchange.ready(function () {
StackExchange.helpers.onClickDraftSave('#login-link');
});
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Post as a guest
Required, but never shown
Required, but never shown
Required, but never shown
Required, but never shown
Required, but never shown
Required, but never shown
Required, but never shown
Required, but never shown
Required, but never shown
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