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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: 86,161

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.
Of course that result can be rigorously obtained, but who cares?
Combinatorics is Algebra and Algebra is Combinatorics.

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

bob bundy
Moderator
Registered: 2010-06-20
Posts: 6,374

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: 86,161

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.
Of course that result can be rigorously obtained, but who cares?
Combinatorics is Algebra and Algebra is Combinatorics.

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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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