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C2 June 2011 Edexcel - Paper and Solutions in the FIRST post.

I have this question in my C2 textbook, driving me nuts:

A) Circle with equation: (x - 3)^2 + (y - 4)^2 = 25

Centre = (3,4)
Radius = 5

Find the exact length of the tangents from the point (10, 0) to the circle.

-------

What the hell does that question mean?!

Btw their answer is sqrt 40

Reply 581

reapz

Original post by Brand New Eyes

Do you know if they can ask to prove the quadratic equation? I have a sheet on it but i cba to memorize

yes but its a piss proof.

what shapes will we get for maxima and minima? any ideas?

Reply 582

chaosdestro0

9

Original post by Cleoleo

Has the ambiguous case for the sine rule ever been tested? if so, could someone direct me to the past paper for it... don't really understand it.
I just know that when using the sine rule, if your angle found is greater than the angle given, the angle could be 2 values, the value you found and 180-value

Ugh, well if you use sine rule in something that is not a triangle then it's ambiguous as it's possible for two values as the total angles is > 180.
I am not sure though, I am just visioning a triangle and trying to think why it's not possible for a second value to exist.

Reply 583

mbrown956

Original post by goodfellow

I have this question in my C2 textbook, driving me nuts:

A) Circle with equation: (x - 3)^2 + (y - 4)^2 = 25

Centre = (3,4)
Radius = 5

Find the exact length of the tangents from the point (10, 0) to the circle.

-------

What the hell does that question mean?!

Btw their answer is sqrt 40

Form a triangle, with the line from the circle centre to the point (10,0) being the hypotenuse. The radius of the circle (5) is known, and the last line is the tangent, which is at a right angle to the radius.

You can find the length of the hypotenuse using pythag - root 65.

So the length of the tangent must be 65 minus 5^2.

Reply 584

robthefool

12

Original post by peewee_returns

will you have to prove trig identities?

and if so what does it mean?

ive got an example from my book

Q) prove these identities

tan@+1/tan@=1/sin@cos@

thank you

I don't think so? Could someone please verify what we might need to prove in C2? I think it's just the sum of geometric series but not sure..

Just remember: sin/cos = tan and cos^2 + sin^2 = 1

Also thanks Arsey I totally agree RE CAST method, drawing the graphs is much easier and gives you a better undertsanding.

Reply 585

Gulshie

AAAh!!..i'm stressing out..i can't even do the simple questions...*sigh*

Reply 586

mbrown956

Original post by peewee_returns

will you have to prove trig identities?

and if so what does it mean?

ive got an example from my book

Q) prove these identities

tan@+1/tan@=1/sin@cos@

thank you

you can write it as:

sin/cos + cos/sin

cross multiply and you get

(sin^2 + cos^2) / sincos

the top simplifies to 1

Reply 587

Arsey

OP

10

Original post by Expendable

What is the method that you teach? We've only been told the CAST one and it's dire

Our candidates are taught to how to draw the graphs and how to use the properties of those graphs to find all other angles. They are not taught the CAST method.

Reply 588

Arsey

OP

10

The only proof you are expected to learn is the Sum of a geometric series.

there was a question involving bearings on a past C2 paper, where you needed to realise that you need an obtuse angle.

Reply 589

Arsey

OP

10

Original post by Arsey

The only proof you are expected to learn is the Sum of a geometric series.

there was a question involving bearings on a past C2 paper, where you needed to realise that you need an obtuse angle.

Jan 08

Reply 590

Mariam8

I jus done the jan 11 paper... i thought it was soooo good!! really straight forward.. does that mean 2mrws gona be hard ?! :frown:

Reply 591

Jian_Earle

Hoping for an extremely unusal paper tommorow

Reply 592

Arsey

OP

10

Original post by reapz

yes but its a piss proof.

what shapes will we get for maxima and minima? any ideas?

you don't need to know the proof of the quadratic formula, and I don't think it is that easy either.

All the shapes that have been asked so far have been prisms; cuboid, cylinder and a trickier one with a sector as a cross-section.

You could get asked about a cone or sphere but I very much doubt it.

Edit: nm

OP

Original post by Mariam8

I jus done the jan 11 paper... i thought it was soooo good!! really straight forward.. does that mean 2mrws gona be hard ?! :frown:

Not necessarily, but some of the questions are definitely less predictable in the most recent papers, where the exam board have tried to ask more unusual questions that require some thinking, rather than repeating standard answers.

I think we will see a more difficult series and sectors question, a more standard binomial and then much of the same...

factor/remainder theorem
Probably a tricky circle geometry question
Logs question, perhaps linked into the series question
Trap rule
Integrate to find an area
Differentiate to find a maximum/minimum

Reply 595

fran598

7. The first four terms, in ascending powers of x, of the binomial expansion of (1 + kx)^n are
1 + Ax + Bx^2 + Bx^3 + …,
where k is a positive constant and A, B and n are positive integers.
(a) By considering the coefficients of x^2 and x^3, show that 3 = (n – 2) k.

Given that A = 4,
(b) find the value of n and the value of k.

This baffles me completely i can expand it and get too (n(n-1)/2!)k^2= (n(n-1)(n-2)/3!)k^3

I will actually love the genius who can solve this..

Reply 596

peewee_returns

Original post by mbrown956

you can write it as:

sin/cos + cos/sin

cross multiply and you get

(sin^2 + cos^2) / sincos

the top simplifies to 1

thank you, thanks to you I can do all of them in my book!
:biggrin:

Reply 597

zxh800

13

Original post by Arsey

The only proof you are expected to learn is the Sum of a geometric series.

there was a question involving bearings on a past C2 paper, where you needed to realise that you need an obtuse angle.

Which years do you think were the most difficult? (Would low grade boundaries be an accurate measure of difficulty? I.e. Jan 10 and June 09 being the hardest)?

Reply 598

Gibbo81

1

Original post by Arsey

Not necessarily, but some of the questions are definitely less predictable in the most recent papers, where the exam board have tried to ask more unusual questions that require some thinking, rather than repeating standard answers.

I think we will see a more difficult series and sectors question, a more standard binomial and then much of the same...

factor/remainder theorem
Probably a tricky circle geometry question
Logs question, perhaps linked into the series question
Trap rule
Integrate to find an area
Differentiate to find a maximum/minimum

Reply 599

TheBuilder

Figure 4 shows a solid brick in the shape of a cuboid measuring 2x cm by x cm by y cm.
The total surface area of the brick is 600 cm2.
(a) Show that the volume, V cm3, of the brick is given by
V=200x - (4x^3/3)

C2 June 2011 Edexcel - Paper and Solutions in the FIRST post.

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