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#1 2013-06-28 05:50:35

mukesh
Member
Registered: 2010-07-18
Posts: 30

locus in co-ordinate geometry

sir plse reply quickly ,i m in very trouble.
'A POINT(6,-8) IS IN XY PLANE.FIND THE LOCUS OF THE MID POINT OF ALL THE POSSIBLE LINES DRAWN FROM THIS POINT WHICH INTERSECT X-AXIS.

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#2 2013-06-28 05:58:28

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 81,431

Re: locus in co-ordinate geometry

Hi;

I am getting y = - 4.


In mathematics, you don't understand things. You just get used to them.
I have the result, but I do not yet know how to get it.
All physicists, and a good many quite respectable mathematicians are contemptuous about proof.

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#3 2013-06-28 06:01:46

bob bundy
Moderator
Registered: 2010-06-20
Posts: 6,092

Re: locus in co-ordinate geometry

hi mukesh,

Did you try plotting a few points to see what happens?

Let the 'other' end of the line be at (x,0)

The end points are (x,0) and (6,-8)

So what is the y coordinate of the midpoint?

That should fix the locus for you.  smile

Bob


You cannot teach a man anything;  you can only help him find it within himself..........Galileo Galilei

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#4 2013-06-28 13:50:15

{7/3}
Member
Registered: 2013-02-11
Posts: 210

Re: locus in co-ordinate geometry

Not sure,but won't the locus be a segment of a parabola?


There are 10 kinds of people in the world,people who understand binary and people who don't.

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#5 2013-06-28 14:21:08

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 81,431

Re: locus in co-ordinate geometry

Hi;

I assumed he meant all the line segments from (6,-8) to the x axis. A few sample points are shown with the red point being the midpoint.

View Image: 2013-06-28_190035.gif

In mathematics, you don't understand things. You just get used to them.
I have the result, but I do not yet know how to get it.
All physicists, and a good many quite respectable mathematicians are contemptuous about proof.

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#6 2013-06-28 18:32:08

{7/3}
Member
Registered: 2013-02-11
Posts: 210

Re: locus in co-ordinate geometry

Sorry,i mixed up locus and envelope.


There are 10 kinds of people in the world,people who understand binary and people who don't.

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