Conics (1 Viewer)

[tommykins]

If y = mx+k is a tangent to the hyperbola x²/a²- y²/b² = 1, show that m²a²-b²=k².

Subbing in gets messy, I'm trying to figure out what the m²a²-b²=k². could possilby physically mean.

Help = love.

 

[undalay]

Sub It In Its Not Messy

hint: sub in then use delta = 0 (since its tangent)

 

[tommykins]

Yeah just got it out, ta.

 

[tommykins]

edit.

 

[rooeys2]

use parametrics, subbing y=mx + b is the terry lee way, which takes much longer.

find the gradient, then let m= that gradient, because the tangent's gradient equals the hyperbolas gradient

solve the equation, i cant type the rest out look at cambridge example its RIGHT THERE :wave:

 

[undalay]

ooooh yes that is a good way also :]
Rui uu lovee cambridgee.

Terry Lee is better coz we brute force everything.
Elegant proofs are forr girls.

 

[YannY]

subbing in y=mx+b is the terry lee way? im sure they thought of it before the formation of terry lee as a sperm happened.

I really doubt terry lee invented any of his methods, he merely copied his students, besides alot of his methods are just nonsense and useless

But between cambridge and terry lee, i would say terry lee though he credits his work way too much, his book has the ideal methods unlike that of cambridge, where there is just a juxaposition of formulas - haha yeah.

But better yet, its ten times better to get tutored by terry lee, though i hear he is a little proud mathsmatician who credits other peoples work as his own.

I also heard his son is gun at maths achieving 100% in both 3u and 4u in the last exam, yes hes in our grade. But he like his father are just anticlockwise in the heard, gets his exam back and dosnt even look at it because he knows he's got 100%.

 

[rooeys2]

subbing in y=mx+b is the terry lee way? im sure they thought of it before the formation of terry lee as a sperm happened.

I really doubt terry lee invented any of his methods, he merely copied his students, besides alot of his methods are just nonsense and useless

But between cambridge and terry lee, i would say terry lee though he credits his work way too much, his book has the ideal methods unlike that of cambridge, where there is just a juxaposition of formulas - haha yeah.

But better yet, its ten times better to get tutored by terry lee, though i hear he is a little proud mathsmatician who credits other peoples work as his own.

I also heard his son is gun at maths achieving 100% in both 3u and 4u in the last exam, yes hes in our grade. But he like his father are just anticlockwise in the heard, gets his exam back and dosnt even look at it because he knows he's got 100%.

edit *HAHA THATS YANG RIGHT? U 4UNIT MATH MACHINE*
lol thats funny i know a couple of ppl from my skoo that went terry lees coachin and quit cuz they think hes a dikhead >_> and no i never said he invented that method, i just saw it in his book =D
but overall i still prefer cambridge (lol jimmy no i dont love it) they have quicker methods for some stuff but u jst have to patient to try and work out the steps in between =D

 

[YannY]

what, who's yang? i go to baulkham hills

 

[jkwii]

got a question,

P is a variable point on the hyperbola with focus S. PT is the tangent and P and ST is perpendicular to PT. Find the locus of T.

 

[rooeys2]

what, who's yang? i go to baulkham hills

lol realy? i thought u were yang from fort st since ur friend with jimmy

 

[rooeys2]

got a question,

P is a variable point on the hyperbola with focus S. PT is the tangent and P and ST is perpendicular to PT. Find the locus of T.

the 4unit syllabus does not require you to know the locus of ellipses/hyperbolas, you only need to know locus of rectangular hyperbolas

 

[YannY]

lol realy? i thought u were yang from fort st since ur friend with jimmy

i get mistaked by this 'yang' guy alot, my name is Yanni and im greek. Yang does sound very asian.

Rofl lolz i used to go to epping boys

 

[rooeys2]

i get mistaked by this 'yang' guy alot, my name is Yanni and im greek. Yang does sound very asian.

Rofl lolz i used to go to epping boys

yang keep lying il smack ur head i already aske jimmy u idiot use some of ur 4unit math brain HAHA

 

[YannY]

Okay you got me.

 

[YannY]

i give up

 

[YannY]

Do you go tutoring Rui?