AP EAMCET · Maths · Hyperbola
If the transverse and conjugate axes of hyperbola are equal, then its eccentricity is
- A \(\sqrt{3}\)
- B \(\sqrt{2}\)
- C \(\frac{1}{\sqrt{2}}\)
- D 2
Answer & Solution
Correct Answer
(B) \(\sqrt{2}\)
Step-by-step Solution
Detailed explanation
Given that, transverse and conjugate axis of hyperbola are equal. \(C D \rightarrow\) transverse axis \(A B \rightarrow\) conjugate axis \[ \Rightarrow \quad 2 b=2 a \Rightarrow a=b \] Using equation of hyperbola \(\frac{x^2}{a^2}-\frac{y^2}{b^2}=1\)…
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