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JEE MATHEMATICS MCQ: PAIR OF STRAIGHT LINES

1 Easy
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Application +4 | -1
Two lines are given by (x−2y)2+λ(x−2y)=0(x-2 y)^2+\lambda(x-2 y)=0. The value of ∣λ∣|\lambda| so that the distance between them is 3 , is
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Correct option: C
353 \sqrt{5}
The correct answer is C (353 \sqrt{5}) because the distance between the parallel lines is given as 3, and solving for ∣λ∣|\lambda| yields 353 \sqrt{5}.

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