Conic-Sections Question 593
Question: Consider the parabolas $ S_1\equiv y^{2}-4ax=0 $ and $ S_2\equiv y^{2}-4bx=0. $ $ S_2 $ will contain $ S_1, $ if
Options:
A) $ a>b>0 $
B) $ b>a>0 $
C) $ a>0,b<0but| ,b, |>a $
D) $ a<0,b>0butb>| ,a, | $
Show Answer
Answer:
Correct Answer: B
Solution:
[b] If a and $ b>0 $ , then graphic representation would be as follows: $ S_2 $ will contain $ S_1, $ if latusrectum of $ S_2> $ latusrectum of $ S_1 $
$ \Rightarrow 4b>4a $
$ \therefore ,b>a>0 $
BETA
