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Conics Question, help please (1 Viewer)

braintic

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Hi all,

Can someone please show me the solution for the following question? I got so confused...

Let P(x1, y1) and Q(x2, y2) be two points on the ellipse (x2/a2) + (y2/b2) =1
with equation a2 + b2 =1 such that PQ is a focal chord.Let the normals at P and Q meet at R and M. M is the middle point of the chord PQ.
(a) Find the y coordinate of the point R.
(b) Find the y coordinate of the point K.
(c) Show that RM is parallel to the x-axis.
What has equation a^2 + b^2 = 1 ?? There seems to be something missing before this. For me it says |OBJ|OBJ|.
 

dunjaaa

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the 2nd question makes no sense(the equation of the circle) and is the first question: Let P(x1, y1) and Q(x2, y2) be two points on the ellipse with equation x^2/a^2 + y^2/b^2 =1 such that PQ is a focal chord.Let the normals at P and Q meet at R and M. M is the middle point of the chord PQ.
(a) Find the y coordinate of the point R.
(b) Find the y coordinate of the point K.
(c) Show that RM is parallel to the x-axis.
also what point is k?
 
Last edited:

a1079atw

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the 2nd question makes no sense(the equation of the circle) and is the first question: Let P(x1, y1) and Q(x2, y2) be two points on the ellipse with equation x^2/a^2 + y^2/b^2 =1 such that PQ is a focal chord.Let the normals at P and Q meet at R and M. M is the middle point of the chord PQ.
(a) Find the y coordinate of the point R.
(b) Find the y coordinate of the point K.
(c) Show that RM is parallel to the x-axis.
also what point is k?
GOD what was I doing. K is M, sorry!
 

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