Conic Sections Question 64
Question: The straight line $ y=2x+\lambda $ does not meet the parabola $ y^{2}=2x $ , if
[MP PET 1993; MNR 1977]
Options:
A) $ \lambda <\frac{1}{4} $
B) $ \lambda >\frac{1}{4} $
C) $ \lambda =4 $
D) $ \lambda =1 $
Show Answer
Answer:
Correct Answer: B
Solution:
$ y=2x+\lambda $ does not meet, if $ \lambda >\frac{a}{m}=\frac{1}{2.2}=\frac{1}{4} $
therefore $ \lambda >\frac{1}{4} $ .