to find centre of any curve

The Legend Struggler......... The struggler which never struggles

Cool goIITian

Posted on
11 May 2010 15:15:28 IST

Posts: 41

11 May 2010 15:15:28 IST

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662

to find centre of any curve

Engineering Entrance , JEE Main , JEE Advanced , Mathematics , Differential Calculus

hey guys this is a short method to find the centre of a curve

suppose the equation of general curve is

ax²+by²+2hxy+2gx+2fy+c

now diffrentiate above equation two times seperately i.e

firstly keeping X constant & Y variable i.e diffrentiate with respect to y

AND

Secondly keeping Y constant &Xvariable i.e diffrentiate with respect to x

By these you will get two linear equations solve them simltaneously & you will get centre of that curve.

though by seeing it sounds to be big one but when you will do ,you will find it to be a good one & easier one since you will be able to find the centre whether you doesn't know anything about that curve.

Comments (2)

Vivek Roy

Blazing goIITian

Joined: 20 May 2008 10:44:54 IST

Posts: 332

12 May 2010 12:15:30 IST

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can you please explain the theory behind this??????

vijay kharya

Blazing goIITian

Joined: 27 Aug 2009 15:48:19 IST

Posts: 634

12 May 2010 15:34:56 IST

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i think that this method is given in arihant... anyways well explained

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