if you can answer this maths q, you're a genius! (2 Viewers)

[blacktown_]

a) find the equation of the focal chord through Q

the parabola is x^2= 4ay, the focus is (0,1) and Q is (2aq, aq^2)

also,
b) prove that the latus rectum is 4a

please answer i'm so desperate

 

[OH1995]

y= x/2*(p+q)-apq is the general equation of a focal chord.

 

[OH1995]

For the latus rectum proof. Use the equation of the focal chord, because the latus rectum is a focal chord. But also it is parallel to the directrix at y=-1.

 

[blacktown_]

not the right answer :/
i don't know how to get the right answer

 

[OH1995]

What was the right answer?

 

[blacktown_]

(q^2-1)x-2qy+2aq=0

its so weird!

 

[Amundies]

Using "p" and "q"... are you sure this is a Mathematics question and not an Ext 1 question?

 

[OH1995]

Well yeh this is pretty much an Ext 1 question OP. What book is this from?

 

[oh well]

lol

 

[Peeik]

Here you go!

Apologies for the bad handwriting.

 

[blacktown_]

for those that asked, it is a question from my textbook for mathematics, not extension maths

 

[blacktown_]

thankyou very much Peeik