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The length of the latus rectum of the ellipse 3x2 + y2 = 12 is:

Answer (Detailed Solution Below)

Option 4 :
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Detailed Solution

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Concept:

The length of the latus rectum of the ellipse  is equal to . (a < b)

Calculation:

Writing the equation of the ellipse in the standard form , we get:

∴ a = 2 and b = 2√3.

Here a < b

Length of the latus rectum =  =  = .

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