Grade 11Analytical Geometry
what is latus rectum?
plzzz explain in deeply.....
what is latus rectum?
plzzz explain in deeply.....
1 Answer
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Representation of Latus Rectum of Ellipse
Above diagram shows the graphical representation of Latus Rectum of Ellipse.
Deriving at length of latus rectum of an ellipse
Let LFL’ be a line segment perpendicular to AA’ Meeting the ellipse in L and L’.
Then LL’ is the length of latus rectum of an ellipse .
If LL’ =2l (Length of Latus Rectum of Ellipse) ,
then LF = FL’ = l .
So the coordinate of L are (c,l) .i.e [al,l]
since L(al,l) lies on (x2/a2) + (y2/b2) = 1,
we have [(a2e2/a2)/a2 ] + [l2+b2] = 1 or l2 = b2(1 - e2) = b4/a2[b2(1 - e2 = a2]
Ellipse Latus rectum is
2l=2b2/a
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