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What is the length of the latus rectum of the ellipse 25x2 + 16y2 = 400 ?

  1. 25/2
  2. 25/4
  3. 16/5
  4. 32/5

Answer (Detailed Solution Below)

Option 4 : 32/5
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Detailed Solution

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Concept:

Equation

 (a > b)

  (a < b)

Length of Latus rectum

 

Calculation:

25x2 + 16y2 = 400

Comparing, with standard equation: a = 4 ; b = 5

Since ( a < b )

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