II two distinct chords of a parabola \( y^{2}=4 a x \) passing thro...

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II two distinct chords of a parabola \( y^{2}=4 a x \) passing through \( (a, 2 a) \) are bisected on the line \( x+y=1 \), then the
P length of the latus rectum can be

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(1) 2
(2) 1
(3) 4
(4) 3
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