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 $

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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} $ .