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The eccentricity of the hyperbola  is

Answer (Detailed Solution Below)

Option 3 :
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Detailed Solution

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Concept:

Standard equation of an hyperbola :  

  • Coordinates of foci = (± ae, 0)
  • Eccentricity (e) =  ⇔ a2e2 = a2 + b2
  • Length of Latus rectum = 

 

Calculation:

Given: 

Compare with the standard equation of a hyperbola: 

So, a2 = 100 and b2 = 75

Now, Eccentricity (e) =  

= 

= 

= 

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