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If the distance between the directrix and focus of a parabola is 4,then find the length of latus rectum of parabola?Plzzzz answer soon!

If the distance between the directrix and focus of a parabola is 4,then find the length of latus rectum of parabola?Plzzzz answer soon!

Grade:12

2 Answers

Arif Hossain
askIITians Faculty 52 Points
8 years ago
Distance between the directrix and focus of a parabola=2a
here,2a=4, a=2
and length of latus rectum=4a=8unit
AMARNATH.R
22 Points
8 years ago
  • parabola is symmetric in y axis with vertex at origin directrix is given by x+a,(a.0) is focus. Distance b/t focus&directrix is a+a/1=2a. now 2a=4&a=2,giving latus rectum 4*a=8

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