AP EAMCET · Maths · Hyperbola
In a hyperbola, if the length of transverse axis is twice that of the conjugate axis, then the distance between its directrices is..... units.
- A \(\frac{8 b}{\sqrt{5}}\)
- B \(\frac{8 a}{\sqrt{5}}\)
- C \(\frac{2 a}{\sqrt{5}}\)
- D \(\frac{2 b}{\sqrt{5}}\)
Answer & Solution
Correct Answer
(A) \(\frac{8 b}{\sqrt{5}}\)
Step-by-step Solution
Detailed explanation
Given, in a hyperbola, the length of transverse axis is twice that of the conjugate axis. The equation of standard hyperbola is \(\frac{x^2}{a^2}-\frac{y^2}{b^2}=1\) \(\because\) Length of transverse axis \(=2 \times\) length of conjugate axis \(2 a=2 \times 2 b\)…
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