Question

What is transverse axis length for hyperbola \((\frac{x}{9})^2-(\frac{y}{16})^2\)=1?

(a) 5 units

(b) 4 units

(c) 8 units

(d) 6 units

The question was asked during an internship interview.

The doubt is from Conic Sections in section Conic Sections of Mathematics – Class 11

Answer 1

Correct answer is (d) 6 units

To explain: Comparing the equation with \((\frac{x}{a})^2-(\frac{y}{b})^2\)=1, we get a=3 and b=4.

Transverse axis length = 2a = 2*3 =6 units.