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Analytical geometry made easy!!!!!!!!!!!!!

CyBorG

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17 Apr 2007 14:05:21 IST

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17 Apr 2007 14:05:21 IST

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Analytical geometry made easy!!!!!!!!!!!!!

Mathematics , Analytical Geomerty ,

Here are some shortcuts which you should never ever forget!

1)Area of the triangle made by the line ax+by+c=0 and the co ordinate axes is c²/(2ab)

2)Area of the rhombus formed by ax(+or-)by(+or-)c=0 is 2c²/ab

3)If ABCD is parallelogram

then D=A-B+C

Eg:If (1,6),(2,5),(5,1) are three vertices of a parallelogram

then fourth vertex is (1-2+5,6-5+1) ie(4,2)

4)The foot of the perpendicular (h,k) from (x₁,y₁) to the line ax+by+c=0 is given by

(h-x₁)/a=(k-y₁)/b= -(ax₁+by₁+c)/(a²+b²)

5)The image or reflection of the point (x₁,y₁) in the line ax+by+c=0 is (h,k) where

(h-x₁)/a=(k-y₁)/b= -2(ax₁+by₁+c)/(a²+b²)

(4) and 5) can be applied to 3-D geometry too!)

6)The area bounded by y²=4ax andx²=4by is given by (4a)(4b)/3

7)The area bounded by y²=4ax and the line y=mx is 8a²/(3m³)

8)The area bounded by y²=4ax and its latus rectum x=a is 8a²/3

I hope this is helpful!

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Comments (8)

Himanshu

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Joined: 19 Feb 2007 19:24:42 IST

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17 Apr 2007 16:03:52 IST

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great

vikas p

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Joined: 5 Mar 2007 11:34:35 IST

Posts: 440

17 Apr 2007 20:02:27 IST

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gud 1

CyBorG

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Joined: 6 Jan 2007 19:11:42 IST

Posts: 706

17 Apr 2007 21:21:28 IST

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Thanx! I'm glad it helped u!

Ayshwar Pandey

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Joined: 29 Jan 2007 10:56:40 IST

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18 Apr 2007 16:58:53 IST

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That was gud!

Shoubhik Bose

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Joined: 18 Apr 2007 12:21:26 IST

Posts: 40

18 Apr 2007 18:15:57 IST

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cud u get some more for me..plzzz

aman agarwal

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Joined: 21 Apr 2007 20:37:27 IST

Posts: 32

25 Apr 2007 17:10:39 IST

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gud tips yaar

abhijeet singh

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Joined: 19 Feb 2007 18:13:15 IST

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1 May 2007 19:40:57 IST

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quite helpful!!!!!!!!!!!

ishan maheshwari

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Joined: 30 Apr 2007 11:52:51 IST

Posts: 161

1 May 2007 22:52:29 IST

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please get some more short tricks.thankx for these gud ones.

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