In the parabola, y^2-2y+8x-23=0, the length of double ordinate at a distance of 3 from its vertex is
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y^2 - 2y+8x-23=0
(y-1)^2 +8x-24=0
(y-1)^2=-8x+24
(y-1)^2=-8(x-3)
it is a parabola of the form Y^2=-4AX
on comparing
4A=8
A=2
vertex V(3,1)
focus (1,1)
length of latus rectum = 4A = 8
length of double ordinate= 12
(y-1)^2 +8x-24=0
(y-1)^2=-8x+24
(y-1)^2=-8(x-3)
it is a parabola of the form Y^2=-4AX
on comparing
4A=8
A=2
vertex V(3,1)
focus (1,1)
length of latus rectum = 4A = 8
length of double ordinate= 12
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