Consider the set of hyperbola $xy = k,\ k \in R.$ Let $e_{1}$ be the eccentricity when $k = 4$ and $e_{2}$ be the eccentricity when $k = 9$, then $e_{1} - e_{2}$ is equal to

Question

Dr. Abubacker · Accepted Answer

(b)
$\because xy = 4$ …(i)
and $xy = 9$ …(ii)
Eqs.(i) and (ii) are the equations of rectangular hyperbolas.
$	herefore\ \ e_{1} = \sqrt{2}$ and $e_{2} = \sqrt{2},$
then $e_{1} - e_{2} = 0$

Q. Consider the set of hyperbola $xy = k,\ k \in R.$ Let $e_{1}$ be the eccentricity when $k = 4$ and $e_{2}$ be the eccentricity when $k = 9$, then $e_{1} - e_{2}$ is equal to

Explanation

Reviewed by Dr. Abubacker

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