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HSC 2017 MX1 Marathon (2 Viewers)

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eyeseeyou

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Post any questions within the scope and level of Mathematics Extension 1. Once a question is posted, it needs to be answered before the next question is raised.

This thread is mainly targeting Q1-14 difficulty in the HSC.

Some housekeeping rules:

1. Provide neat working out when possible

2. Don't flood the thread with multiple unanswered questions

3. Since HSC MX1 Mathematics can be tested up to 30% of the maths you did in preliminary, feel free to post the often odd and challenging questions

Source(s): http://community.boredofstudies.org/13/mathematics-extension-1/344684/hsc-2016-3u-marathon.html
http://community.boredofstudies.org/14/mathematics-extension-2/344755/hsc-2016-4u-marathon.html

I encourage all current HSC students in particular to participate in this marathon.

To start off:

The point P(6p, 3p^2) is a point on the parabola x^2 = 12y .
(i)Find the equation of the tangent of P
(ii)The Tangent at P buts the y-axis at B. The point A divides PB internally in the ratio 1:2
Find the locus of the point A as P varies
 
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pikachu975

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MX1 only goes up to question 14 lolol

\text{hello}

How do you do latex?



Edit: Thanks trecex
 
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pikachu975

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Post any questions within the scope and level of Mathematics Extension 1. Once a question is posted, it needs to be answered before the next question is raised.

This thread is mainly targeting Q1-15 difficulty in the HSC. Any questions of Q16 difficulty or harder should be posted in the Advanced thread.

Some housekeeping rules:

1. Provide neat working out when possible

2. Don't flood the thread with multiple unanswered questions

3. Since HSC MX1 Mathematics can be tested up to 30% of the maths you did in preliminary, feel free to post the often odd and challenging questions

Source(s): http://community.boredofstudies.org/13/mathematics-extension-1/344684/hsc-2016-3u-marathon.html
http://community.boredofstudies.org/14/mathematics-extension-2/344755/hsc-2016-4u-marathon.html

I encourage all current HSC students in particular to participate in this marathon.

To start off:

The point P(6p, 3p^2) is a point on the parabola x^2 = 12y .
(i)Find the equation of the tangent of P
(ii)The Tangent at P buts the y-axis at B. The point A divides PB internally in the ratio 1:2
Find the locus of the point A as P varies


This took years to type and the answer is probably wrong lol
 
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Drsoccerball

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In how many ways can you climb 15 steps by only taking 1 or 3 steps at a time?
 

si2136

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Could you show your working out? I read the question wrong with 10 steps but with 15 steps, this is my working out:

15 Steps

3 Step // 1 Step

5 // 0 = 1 Way
4 // 3 = 35 Ways
3 // 6 = 84 Ways
2 // 9 = 55 Ways
1 // 12 = 13 Ways
0 // 15 = 1 Way

Therefore 189 ways.
 
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