# PLEASE HELP- C2 Coordinate Geometry

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emx_eco

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#1

10. The circle C, with centre A, passes through the point P with coordinates (–9, 8) and the point Q with coordinates (15, –10).

Given that PQ is a diameter of the circle C,

(a) find the coordinates of A, (2)

(b) find an equation for C. (3)

A point R also lies on the circle C.

Given that the length of the chord PR is 20 units,

(c) find the length of the shortest distance from A to the chord PR.

Give your answer as a surd in its simplest form (2)

(d) Find the size of the angle ARQ, giving your answer to the nearest 0.1 of a degree. (2)

Confused on part c and d

Given that PQ is a diameter of the circle C,

(a) find the coordinates of A, (2)

(b) find an equation for C. (3)

A point R also lies on the circle C.

Given that the length of the chord PR is 20 units,

(c) find the length of the shortest distance from A to the chord PR.

Give your answer as a surd in its simplest form (2)

(d) Find the size of the angle ARQ, giving your answer to the nearest 0.1 of a degree. (2)

Confused on part c and d

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emx_eco

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#2

10. The circle C, with centre A, passes through the point P with coordinates (–9, 8) and the point Q with coordinates (15, –10).

Given that PQ is a diameter of the circle C,

(a) find the coordinates of A, (2)

(b) find an equation for C. (3)

A point R also lies on the circle C.

Given that the length of the chord PR is 20 units,

(c) find the length of the shortest distance from A to the chord PR.

Give your answer as a surd in its simplest form. (2)

(d) Find the size of the angle ARQ, giving your answer to the nearest 0.1 of a degree. (2)

I'm confused on part c and d

Given that PQ is a diameter of the circle C,

(a) find the coordinates of A, (2)

(b) find an equation for C. (3)

A point R also lies on the circle C.

Given that the length of the chord PR is 20 units,

(c) find the length of the shortest distance from A to the chord PR.

Give your answer as a surd in its simplest form. (2)

(d) Find the size of the angle ARQ, giving your answer to the nearest 0.1 of a degree. (2)

I'm confused on part c and d

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emx_eco

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#3

The mark scheme said you have to find the length of RQ but I don't understand why

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#4

10. The circle C, with centre A, passes through the point P with coordinates (–9, 8) and the point Q with coordinates (15, –10).

Given that PQ is a diameter of the circle C,

(a) find the coordinates of A, (2)

(b) find an equation for C. (3)

A point R also lies on the circle C.

Given that the length of the chord PR is 20 units,

(c) find the length of the shortest distance from A to the chord PR.

Give your answer as a surd in its simplest form. (2)

(d) Find the size of the angle ARQ, giving your answer to the nearest 0.1 of a degree. (2)

I'm confused on part c and d

Given that PQ is a diameter of the circle C,

(a) find the coordinates of A, (2)

(b) find an equation for C. (3)

A point R also lies on the circle C.

Given that the length of the chord PR is 20 units,

(c) find the length of the shortest distance from A to the chord PR.

Give your answer as a surd in its simplest form. (2)

(d) Find the size of the angle ARQ, giving your answer to the nearest 0.1 of a degree. (2)

I'm confused on part c and d

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username3006294

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#5

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#5

(Original post by

10. The circle C, with centre A, passes through the point P with coordinates (–9, 8) and the point Q with coordinates (15, –10).

Given that PQ is a diameter of the circle C,

(a) find the coordinates of A, (2)

(b) find an equation for C. (3)

A point R also lies on the circle C.

Given that the length of the chord PR is 20 units,

(c) find the length of the shortest distance from A to the chord PR.

Give your answer as a surd in its simplest form. (2)

(d) Find the size of the angle ARQ, giving your answer to the nearest 0.1 of a degree. (2)

I'm confused on part c and d

**emx_eco**)10. The circle C, with centre A, passes through the point P with coordinates (–9, 8) and the point Q with coordinates (15, –10).

Given that PQ is a diameter of the circle C,

(a) find the coordinates of A, (2)

(b) find an equation for C. (3)

A point R also lies on the circle C.

Given that the length of the chord PR is 20 units,

(c) find the length of the shortest distance from A to the chord PR.

Give your answer as a surd in its simplest form. (2)

(d) Find the size of the angle ARQ, giving your answer to the nearest 0.1 of a degree. (2)

I'm confused on part c and d

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#6

(Original post by

Have you tried drawing it?

**em_lj**)Have you tried drawing it?

Question 10c

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ghostwalker

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#7

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#7

**emx_eco**)

10. The circle C, with centre A, passes through the point P with coordinates (–9, 8) and the point Q with coordinates (15, –10).

Given that PQ is a diameter of the circle C,

(a) find the coordinates of A, (2)

(b) find an equation for C. (3)

A point R also lies on the circle C.

Given that the length of the chord PR is 20 units,

(c) find the length of the shortest distance from A to the chord PR.

Give your answer as a surd in its simplest form. (2)

(d) Find the size of the angle ARQ, giving your answer to the nearest 0.1 of a degree. (2)

I'm confused on part c and d

c) Shortest distance fo A to PR, bisects PR. If we call the point X, then Pythagoras on PXA will let you find AX.

d) Don't see any need to work out RQ. You could use cosine rule on triangle PRA to find angle PRA, and then subtract from 90 to get angle ARQ (angle in a semicircle is 90)

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username3006294

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#8

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#8

(Original post by

yep, I still cant seem to see how the mark scheme has done it. This is the mark scheme: http://pmt.physicsandmathstutor.com/...%20Edexcel.pdf

Question 10c

**emx_eco**)yep, I still cant seem to see how the mark scheme has done it. This is the mark scheme: http://pmt.physicsandmathstutor.com/...%20Edexcel.pdf

Question 10c

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Andrew Dawson

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#9

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#9

I have only a solution to part C. Basically, draw a triangle and use circle theorems.

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#10

(Original post by

I have only a solution to part C. Basically, draw a triangle and use circle theorems.

**Andrew Dawson**)I have only a solution to part C. Basically, draw a triangle and use circle theorems.

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Andrew Dawson

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#11

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#11

As it states PR is a chord. So you can conclude that R must lie on the circumference on the circle. Therefore, it must have a distance equal to the radius from the center A. You are told it has a distance of 20 units from P and P is on the circumference aswell. Meaning, that also has a distance equal to the radius. The shortest distance from A the chord PR is when it is perpendicular therefore bisecting the chord in half. Giving you a right angled triangle. From there is just Pythagoras.

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#12

(Original post by

As it states PR is a chord. So you can conclude that R must lie on the circumference on the circle. Therefore, it must have a distance equal to the radius from the center A. You are told it has a distance of 20 units from P and P is on the circumference aswell. Meaning, that also has a distance equal to the radius. The shortest distance from A the chord PR is when it is perpendicular therefore bisecting the chord in half. Giving you a right angled triangle. From there is just Pythagoras.

**Andrew Dawson**)As it states PR is a chord. So you can conclude that R must lie on the circumference on the circle. Therefore, it must have a distance equal to the radius from the center A. You are told it has a distance of 20 units from P and P is on the circumference aswell. Meaning, that also has a distance equal to the radius. The shortest distance from A the chord PR is when it is perpendicular therefore bisecting the chord in half. Giving you a right angled triangle. From there is just Pythagoras.

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mathshelppp

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#13

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#13

http://www.physicsandmathstutor.com/...s/c2-by-topic/

for edexcel c2

whats the difference between set 1 and set 2?

is set 1 just broken down into each topic??

anyone????

for edexcel c2

whats the difference between set 1 and set 2?

is set 1 just broken down into each topic??

anyone????

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RDKGames

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#14

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#14

(Original post by

10. The circle C, with centre A, passes through the point P with coordinates (–9, 8) and the point Q with coordinates (15, –10).

Given that PQ is a diameter of the circle C,

(a) find the coordinates of A, (2)

(b) find an equation for C. (3)

A point R also lies on the circle C.

Given that the length of the chord PR is 20 units,

(c) find the length of the shortest distance from A to the chord PR.

Give your answer as a surd in its simplest form (2)

(d) Find the size of the angle ARQ, giving your answer to the nearest 0.1 of a degree. (2)

Confused on part c and d

**emx_eco**)10. The circle C, with centre A, passes through the point P with coordinates (–9, 8) and the point Q with coordinates (15, –10).

Given that PQ is a diameter of the circle C,

(a) find the coordinates of A, (2)

(b) find an equation for C. (3)

A point R also lies on the circle C.

Given that the length of the chord PR is 20 units,

(c) find the length of the shortest distance from A to the chord PR.

Give your answer as a surd in its simplest form (2)

(d) Find the size of the angle ARQ, giving your answer to the nearest 0.1 of a degree. (2)

Confused on part c and d

(d) ARQ is an isosceles triangle with lengths AR=AQ=r and also you have a right-angled triangle PRQ with PR=20 and PQ=diameter.

An quick sketch would help you understand that we have a situation whereby so all you need is the angle which you can easily find by rearrangement.

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mathshelppp

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#15

http://www.physicsandmathstutor.com/...s/c2-by-topic/

for edexcel c2

whats the difference between set 1 and set 2?

is set 1 just broken down into each topic??

anyone????

RDKGames

for edexcel c2

whats the difference between set 1 and set 2?

is set 1 just broken down into each topic??

anyone????

RDKGames

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RDKGames

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#16

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#16

(Original post by

http://www.physicsandmathstutor.com/...s/c2-by-topic/

for edexcel c2

whats the difference between set 1 and set 2?

is set 1 just broken down into each topic??

anyone????

RDKGames

**mathshelppp**)http://www.physicsandmathstutor.com/...s/c2-by-topic/

for edexcel c2

whats the difference between set 1 and set 2?

is set 1 just broken down into each topic??

anyone????

RDKGames

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#17

(Original post by

http://www.physicsandmathstutor.com/...s/c2-by-topic/

for edexcel c2

whats the difference between set 1 and set 2?

is set 1 just broken down into each topic??

anyone????

**mathshelppp**)http://www.physicsandmathstutor.com/...s/c2-by-topic/

for edexcel c2

whats the difference between set 1 and set 2?

is set 1 just broken down into each topic??

anyone????

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Andrew Dawson

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#18

(Original post by

But if P has an x-coordinate of -9 and A has an x-coordinate of 3, then how can your diagram be sketched like that because the point P should be behind the point A?

**emx_eco**)But if P has an x-coordinate of -9 and A has an x-coordinate of 3, then how can your diagram be sketched like that because the point P should be behind the point A?

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RDKGames

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#19

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#20

(Original post by

Yeah, sorry I was quickly sketching it. The method works, but I just drew it badly. Sorry.

**Andrew Dawson**)Yeah, sorry I was quickly sketching it. The method works, but I just drew it badly. Sorry.

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