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

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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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 81,392

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

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.

Bob

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

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

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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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 81,392

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.

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

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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