Conic Proofs (2 Viewers)

[unLimitieDx]

Are we required to know the proof for the chord on an ellipse or hyperbola?
If so can someone prove it for me? Thanks in advance

 

[barbernator]

Are we required to know the proof for the chord on an ellipse or hyperbola?
If so can someone prove it for me? Thanks in advance

chord - or chord of contact?

 

[deswa1]

I don't think you need to know the general chord (the proof isn't that hard except for the trig. What you do it find the gradient normally in paramteric and then use the general formula of the line but you 'expand' all the trig using sums and products which then cancel out fairly nicely. ). I've never seen a question proving that anywhere though. In some papers however, they ask specific cases, for example find the chord of an ellipse which passes through the focus.

 

[trolly]

this is not needed

 

[asianese]

The trig bits in the simplification was taken out of the 3U course a while ago but this removal was not mentioned in the 4U syllabus after it was revised. That is, the trig proofs sinAsinB etc are not needed. Either we will be given an auxiliary part which leads us into using the trig results, or, they will be given.