CBSE Class 11-science Answered
Find the length of Latus Rectum of the Parabola 169{(x-1)2 +(y-3)2 }=(5x-12y+17)2
Asked by | 07 Jan, 2009, 07:46: PM
Expert Answer
as parabola is locus of point which moves in such a way that its distance from a fixed point (focus) and from a fixed line (directrix) is constant here focus is (1,3) and directrix is 5x-12y+17 = 0 from point (1,3) length of perpendicular to directrix is half the length of latus rectum.
length of perpendicular is (5*1 -12*3 +17) / 
(52 + 122) = 14/13 so length of latus rectum is 28/13
Answered by | 11 Jan, 2009, 12:29: AM
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