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  • The product of the eccentricities of two conics is unity, then one of them may be    Option: 1 a

The product of the eccentricities of two conics is unity, then one of them may be  

 

Option: 1

a parabola


Option: 2

 an ellipse 

 


Option: 3

a hyperbola


Option: 4

all the above  

 


Answers (1)

best_answer

Product of the two eccentricities e and e′ is 1 

If e = e′ = 1 ⇒ the two conics are parabolas 

It e > 1, e′ < 1 or e < 1, e′ > 1 in these cases 

The conics either ellipse or hyperbola. 

 

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Pankaj

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