Conic Sections Question 322
Question: What are the points of intersection of the curve $ 4x^{2}-9y^{2}=1 $ with its conjugate axis-
Options:
A) $ (1/2,0) $ and $ (-1/2,0) $
B) $ (0,2) $ and $ (0,-2) $
C) $ (0,3) $ and $ (0,-3) $
D) No such point exists
Show Answer
Answer:
Correct Answer: D
Solution:
[d] The given equation of curve is $ 4x^{2}-9y^{2}=1 $
$ \Rightarrow \frac{x^{2}}{1/4}-\frac{y^{2}}{1/9}=1 $ This is an equation of a hyperbola which does not intersect with conjugate axes.
Hence, no point of intersection exists.
BETA
