Coordinate Geometry
Hyperbola
MMTS_Full_Test_22
Grade 12
Question:
If the latus rectum of hyperbola $16x^2-9y^2=144$ is 8, its eccentricity is
$\sqrt{7}/3$
$5/3$
$\sqrt{7}/4$
$5/4$
Step-by-Step Solution
Key Concept: $16x^2-9y^2=144\Rightarrow x^2/9-y^2/16=1$; $a^2=9,b^2=16$
$e=5/3$.
Correct Answer: 4