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The straight line $y = 2 x + λ$ does not meet the parabola $y^{2} = 2 x$ , if:

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$λ = 4$

$λ < \frac{1}{4}$

$λ > \frac{1}{4}$

$λ = 1$

answer is B.

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Detailed Solution

$y = 2 x + λ$ does not meet the parabola $y^{2} = 2 x$ , if $λ > \frac{a}{m} = \frac{1}{2.2} = \frac{1}{4} \Rightarrow λ > \frac{1}{4}$

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