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Ask iit jee aieee pet cbse icse state board community Community Discussion Question: Ellipse-2
Forum Index -> Analytical Geometry like the article? email it to a friend.  
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tarinbansal (3644)

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If normals are drawn to the ellipse x2 + 2y2 = 2 from the point (2,3), then the co-normal points lie on the curve-?
 
Ans-xy+3x-4y=0
 
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jatinroxx (355)

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Dude, y do u give the answer along...??????

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jatinroxx (355)

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Plz explain wat co-normal pts. are????

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tarinbansal (3644)

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I gave the answer so that you can check ur answer before posting the solution.

Conormal points are those points, the normals at which pass thru a same point. eg-P,Q,R are conormal points if normals at P,Q,R pass thru a same point S.

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jatinroxx (355)

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So which co-normal pts r v talking abt in the question??

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tarinbansal (3644)

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Arre wohi to question hai.
You have to assume conormal points from urself and then you have to find their locus.

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tarinbansal (3644)

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From a given point not on the curve, we can draw 3 normals. SO we have to find their locus I think.

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jatinroxx (355)

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So wat does the give info have to do with that........?????

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rhd92781 (686)

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eqn of normal is to ellipse is a^2x/x1 - b^2y/y1 = a^2-b^2
(x1,y1) is the point of intersection of normal n ellipse
in this ellipse a=rt(2), b=1
so normal is 2x/x1 - y/y1 = 1
it passes thru (2,3)
so 4/x1 - 3/y1 = 1
hence locus of x1,y1 is xy + 3x - 4y = 0

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tarinbansal (3644)

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Thanx rahul.
Here's ur salute.

The quality of a person's life is in direct proportion to their commitment to excellence, regardless of their chosen field of endeavor.

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jatinroxx (355)

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rhd, plz xplain the Q..

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tarinbansal (3644)

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Guys,
please have a look at this also-
http://www.goiit.com/posts/list/geometry-ellipse-1-34784.htm

The quality of a person's life is in direct proportion to their commitment to excellence, regardless of their chosen field of endeavor.

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tarinbansal (3644)

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Jatin, the question says,
you have to find the locus of the points where the normals from the given point intersect the ellipse.
So rhd took a general point of intersection (x1,y1) and by using the equations of normal he found the locus of (x1,y1)

The quality of a person's life is in direct proportion to their commitment to excellence, regardless of their chosen field of endeavor.

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tarinbansal (3644)

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Another good question-
http://www.goiit.com/posts/list/geometry-ellipse-2-34785.htm

The quality of a person's life is in direct proportion to their commitment to excellence, regardless of their chosen field of endeavor.

It is during our darkest moments that we must focus to see the light.

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