mark this (1 Viewer)

[bos1234]

Mark the point (

,

)

How would I mark these two points on a hyperbola. Brief description would do.
And why is it marked there?

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similar

Mark the point

,

and V=

,

 

[ssglain]

This relates to the construction of hyperbolae/ellipses from their auxiliary circles.

Or is that too brief?

 

[ssglain]

On second look - the exact values of those angles are known. So maybe just work out the coordinates and, well, mark them on a lovely scaled diagram?

 

[bos1234]

how about if they are not exact?

 

[ssglain]

Then I would say auxiliary circle because there is no physical relation between the angle and the conic section except through its auxiliary circle. Most students tend to forget that the syllabus actually requires us to know how to do that. There was a question in a HSC paper some years ago that asked students to construct a hyperbola/ellipse using the auxiliary circle. Apparently a lot of people were stumped.

 

[bos1234]

kk thanks