AP EAMCET · Maths · Hyperbola
If the eccentricity of a hyperbola is then the eccentricity of its conjugate hyperbola is
- A
- B
- C
- D
Answer & Solution
Correct Answer
(B)
Step-by-step Solution
Detailed explanation
Let the eccentricity of hyperbola and conjugate hyperbola be e1 & e2respectively. Then, 1e12+1e22=1 ⇒1532+1e22=1 ⇒925+1e22=1 ⇒1e22=1-925 ⇒1e22=1625 ⇒e2=±54 But, eccentricity of hyperbola is never less than one. Hence, e2=54.
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