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Question

If the vertex of a parabola be at origin and directrix be x + 5 = 0, then its latus rectum is
  1. 10
  2. 20
  3. 40
  4. 5


Solution

The correct option is B 20
Length of latus rectum is four times the distance of focus from directrix. 
Distance of vertex (0,0) from x+5 = 0 is 5 units 
=>latus rectum = 4a = 20.

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