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#1 2006-02-27 16:44:14

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 48,472

Coordinate Geometry

CG # 1

Find the area of the triangle whose vertices are
(2, -3), (-1, 3) and (4, 7).


It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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#2 2006-02-27 18:32:13

krassi_holmz
Real Member
Registered: 2005-12-02
Posts: 1,905

Re: Coordinate Geometry

21


IPBLE:  Increasing Performance By Lowering Expectations.

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#3 2006-02-27 19:45:29

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 48,472

Re: Coordinate Geometry

kk-neatwork.gif


It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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#4 2006-02-27 20:17:05

krassi_holmz
Real Member
Registered: 2005-12-02
Posts: 1,905

Re: Coordinate Geometry

That was easy. I solved it in Paint for~1min


IPBLE:  Increasing Performance By Lowering Expectations.

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#5 2006-02-28 16:17:19

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 48,472

Re: Coordinate Geometry

CG # 2

Find (x,y) if (3,2), (6,3), (x,y) and (6,5) are the vertices of a parellologram taken in order.


It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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#6 2006-02-28 17:59:51

krassi_holmz
Real Member
Registered: 2005-12-02
Posts: 1,905

Re: Coordinate Geometry

{3,4}?


IPBLE:  Increasing Performance By Lowering Expectations.

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#7 2006-02-28 19:41:06

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 48,472

Re: Coordinate Geometry

try.jpg


It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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#8 2006-03-01 03:37:59

mathsyperson
Moderator
Registered: 2005-06-22
Posts: 4,900

Re: Coordinate Geometry

(9,6)?


Why did the vector cross the road?
It wanted to be normal.

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#9 2006-03-01 03:46:38

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 48,472

Re: Coordinate Geometry

Correct, mathsyperson! smile smile smile


It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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#10 2006-03-01 04:00:29

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 48,472

Re: Coordinate Geometry

CG # 3

If 3x-2y+4=0 and ax+4y+3=0 are parallel lines, find the value of a.


It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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#11 2006-03-01 06:17:02

Patrick
Real Member
Registered: 2006-02-24
Posts: 1,005

Re: Coordinate Geometry

CG# 3
a = -6?

Last edited by Patrick (2006-03-01 06:17:20)


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#12 2006-03-01 15:59:53

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 48,472

Re: Coordinate Geometry

You're correct, Patrick! Well done! up


It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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#13 2006-03-01 16:13:04

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 48,472

Re: Coordinate Geometry

CG # 4

Find the equations of the lines which pass through the point (3,4) and make intercepts on the axes such that their sum is 14.


It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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#14 2006-03-01 18:08:18

ryos
Member
Registered: 2005-08-04
Posts: 394

Re: Coordinate Geometry


El que pega primero pega dos veces.

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#15 2006-03-01 18:25:24

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 48,472

Re: Coordinate Geometry

f40w_well_done.jpg

They are the only equations for which the conditions work


It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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#16 2006-03-02 17:39:04

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 48,472

Re: Coordinate Geometry

CG # 5

Find the equation of the perpendicular bisector of the line joining the points A(-1,2) and B(3,-4).


It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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#17 2006-03-06 16:22:15

Dionysus
Member
Registered: 2006-03-06
Posts: 9

Re: Coordinate Geometry

Last edited by Dionysus (2006-03-06 16:22:49)

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#18 2006-03-06 16:50:37

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 48,472

Re: Coordinate Geometry

Excellent, Dionysus! up cool roflol


It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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#19 2006-03-06 18:31:40

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 48,472

Re: Coordinate Geometry

CG # 6

Prove that the lines 3x-4y+5=0, 7x-8y+5=0 and 4x+5y=45 are concurrent.


It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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#20 2006-03-08 20:02:03

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 48,472

Re: Coordinate Geometry

CG # 7

Show that the points (4, -4), (-4, 4), and (4√3, 4√3) are the vertices of an equilateral triangle.


It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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#21 2006-03-09 16:50:39

Dionysus
Member
Registered: 2006-03-06
Posts: 9

Re: Coordinate Geometry

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#22 2006-03-10 03:00:46

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 48,472

Re: Coordinate Geometry

kk-neatwork.gif


It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

Offline

#23 2006-03-10 04:27:36

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 48,472

Re: Coordinate Geometry

CG # 8

Find the equation of the straight line making an angle 135° with the positive direction of x-axis and cutting an intercept 5 on the y-axis.


It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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#24 2006-03-10 04:31:37

mathsyperson
Moderator
Registered: 2005-06-22
Posts: 4,900

Re: Coordinate Geometry

tan 135° = -1, so that is the gradient of the line. We are told that the y-intercept is 5, so the equation is y = 5-x.


Why did the vector cross the road?
It wanted to be normal.

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#25 2006-03-10 15:50:29

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 48,472

Re: Coordinate Geometry

Very good, mathsyperson!


It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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