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What is eccentricity for \((\frac{x}{9})^2-(\frac{y}{16})^2\)=1?(a) 2/5(b) 3/5(c) 15(d) 5/3This question was posed to me by my school principal while I was bunking the class.My question is based upon Conic Sections topic in division Conic Sections of Mathematics – Class 11

Answer»

Correct CHOICE is (d) 5/3

The best I can explain: Comparing the equation with \((\frac{X}{a})^2-(\frac{y}{B})^2\)=1, we GET a=3 and b=4.

For hyperbola, c^2=a^2+b^2= 9+16=25 => c=5.

We know, for hyperbola c=a*e

So, e=c/a = 5/3.



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