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SEAMO 2027 - Paper F - SET 01 - Self-study Question 12

SEAMO · SEAMO 2027 - Paper F - SET 01 - Self-study

Question 12

If $e_1,e_2$ are the eccentricities of the ellipse $9x^2+4y^2=36$ and the hyperbola $9x^2-4y^2=36$, respectively, which option is correct?
  1. $e_1^2+e_2^2>3$
  2. $e_1^2+e_2^2=2$
  3. $e_1^2+e_2^2=4$
  4. $e_1^2+e_2^2<4$
  5. Both (A) and (D)