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Find the length of latus rectum of parabola , x2 = - 6y .
1. -6 units
2. 6 units
3. 3/2 units
4. -3/2 units

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Correct Answer - Option 2 : 6 units

Concept: 

Parabola, x2 = 4ay, where a > 0, then  

Length of latus rectum = 4a 

Parabola, x2 = - 4ay, where a > 0, then 

Length of latus rectum = 4a 

 

Calculation: 

Given parabolic equation , x2 = - 6y

On comparing with standard equation, a = \(\frac{3}{2}\) 

We know that, length of latus rectum = 4a

Latus rectum = 4a 

⇒ Latus rectum = 4× \(\frac{3}{2}\) 

⇒ Latus rectum = 6 units.

The correct option is 2. 

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