conics is the devil and i really cant get this question (1 Viewer)

[dawso]

from the 1998 hsc...

the point s (ae, 0) is a focus of the hyperbola H: x^2 - y^2 = a^2

the tangent at p (x1, y1) meets the asymptotes of H in T and U

let angle UST = @

show that @ = -1

 

[lfc_reds2003]

i think you have written the q out slghtly wrong..... cos the way u have it we have to prove an angle = -1...

 

[dawso]

yeah, thats what i thought, i think ive actually got that tan @ = -1 (through alot of algebra bashing) but it must be a typo in the question paper i got....anyone can confirm or deny this its be gud

cheers


-dawso

 

[ngai]

yeah, thats what i thought, i think ive actually got that tan @ = -1 (through alot of algebra bashing) but it must be a typo in the question paper i got....anyone can confirm or deny this its be gud

cheers


-dawso

i remember some question i came across last yr had that kinda typo...
@ instead of tan@

 

[dawso]

cheers, if ngai says it, it must be right

 

[dawso]

cheers, if ngai says it, it must be right

 

[yrtherenonames]

This is what the MANSW thingy says...hopefully it uploads...ive gotta work out one day how to post images; i'm not uploading stuff to a web page. anyway yeh, do people not have the past ten years of stuff?
At worst you could probs look it up on BoardofStudies

 

[dawso]

goodo, from what i read there they have shown that tan @ = -1 so its all gud

cheers everyone

-dawso