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to find centre of any curve

Cool goIITian

Posted on
11 May 2010 15:15:28 IST
Posts: 41
11 May 2010 15:15:28 IST
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2
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.

Blazing goIITian

Joined: 20 May 2008 10:44:54 IST
Posts: 332
12 May 2010 12:15:30 IST
0 people liked this

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

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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