Conic Sections Question 46
Question: The liner $ x=t^{2} $ meets the ellipse $ x^{2}+\frac{y^{2}}{9}=1 $ at real and distinct points if and only if
Options:
A) $ | t |<2 $
B) $ | t |<1 $
C) $ | t |>1 $
D) None of these
Show Answer
Answer:
Correct Answer: C
Solution:
[b] solving the given line and the ellipse, we get $ r^{2}+\frac{y^{2}}{9}=1 $ Or $ y^{2}=9(1-r^{2}) $ Which gives the real and distinct values of y if $ 1-r^{2}>0 $ Or $ t\in (-1,1) $
BETA
