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AP EAMCET · Maths · Hyperbola

The descending order of magnitude of the eccentricities of the following hyperbolas is
A. A hyperbola whose distance between foci is three times the distance between its directrices.
B. Hyperbola in which the transverse axis is twice the conjugate axis.
C. Hyperbola with asymptotes
\(x+y+1=0, x-y+3=0\)

  1. A C, A, B
  2. B B, C, A
  3. C C, B, A
  4. D A, C, B
Verified Solution

Answer & Solution

Correct Answer

(D) A, C, B

Step-by-step Solution

Detailed explanation

A: Distance between foci is three times the distance between its directrices. \(\therefore 2 a e=3 \times \frac{2 a}{e} \Rightarrow e^2=3 \Rightarrow e=\sqrt{3}=1.732\) B : The transverse axis is twice the conjugate axis…