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baba garg Grade: 11
        

what is latus rectum?


plzzz explain in deeply.....

6 years ago

Answers : (1)

vikas askiitian expert
510 Points
										

Representation of Latus Rectum of Ellipse


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

6 years ago
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