Question

Consider the set of hyperbola xy = k, k Ī R. Let e₁ and e₂ be

the eccentricities when k = 16 and k = 25 respectively then the value of e₁² – e₂² equals-

• A. – 2
• B. –3
• C. 9
• D. None of these

Answer 1

Answer: (D)

None of these

Answer 2

These both are rectangular hyperbola

So e₁ = e₂ = $\sqrt{2}$

Hence e₁² – e₂² = 0