MCQ
A hyperbola has its centre at the origin, passes through the point $(4, 2)$ and has transverse axis of length $4$ along the $x -$ axis. Then the eccentricity of the hyperbola is
- ✓$\frac {2}{\sqrt 3}$
- B$\frac {3}{2}$
- C$\sqrt 3$
- D$2$
✓
Answer
Correct option: A.
$\frac {2}{\sqrt 3}$
a
Given hyperbolo is
Given hyperbolo is
$\frac{{{x^2}}}{4} - \frac{{{y^2}}}{{{b^2}}} = 1$
Satisfying the point $\left( {4,2} \right)$
$ \Rightarrow {b^2} = \frac{4}{3}$
$ \Rightarrow e = \frac{2}{{\sqrt 3 }}$
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