

2002 Paper 2 Question 10
Started by John, May 17 2006 07:17 PM
7 replies to this topic
#2
Posted 17 May 2006 - 08:06 PM
I don't have access to that paper at the moment to give you my solution so here's someone else's:
http://www.lookstudylearn.co.uk/higher/H2S...ols-10-2002.PDF
http://www.lookstudylearn.co.uk/higher/H2S...ols-10-2002.PDF
H tends 2 infinity
---------------------------------
Never argue with an idiot. They drag you down to their level then beat you with experience.
#3
Posted 17 May 2006 - 08:12 PM
i really didnt get that question at all...im surprised it hasnt been asked before :S
#5
Posted 17 May 2006 - 11:21 PM
Hmm there's apparently another way to do it with similar shapes and the like, but I prefer to use stuff that's fresh in my memory.
First, find the gradient of the longest side (from (0,6) to (8,0)):

Now the other side l is parallel to this, so it has the same gradient, and it also touches the point (a,0), so finding an equation for l:

Now find the y intercept, i.e. when x= 0:

So the y intercept is the point (0, 3a/4)
Now, we want the length of l, so distance formula between the point (0, 3a/4) and (a,0):

tricky question.
First, find the gradient of the longest side (from (0,6) to (8,0)):

Now the other side l is parallel to this, so it has the same gradient, and it also touches the point (a,0), so finding an equation for l:

Now find the y intercept, i.e. when x= 0:

So the y intercept is the point (0, 3a/4)
Now, we want the length of l, so distance formula between the point (0, 3a/4) and (a,0):

tricky question.
HMFC - Founded 1874, beefing the Cabbage since 1875
#6
Posted 18 May 2006 - 12:17 AM
i like the similar triangles option and its one i would of went for when i did that question as a past paper since its only for 2 marks at most this question
If i am not here i am somewhere else
#8
Posted 18 May 2006 - 08:00 AM
I would also solve part (a) using similar triangles.
Here is my solution if it helps:
http://www.invergordon.highland.sch.uk/dep...q10solution.pdf
Here is my solution if it helps:
http://www.invergordon.highland.sch.uk/dep...q10solution.pdf
H tends 2 infinity
---------------------------------
Never argue with an idiot. They drag you down to their level then beat you with experience.
1 user(s) are reading this topic
0 members, 1 guests, 0 anonymous users