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JEE MATHEMATICS MCQ: PAIR OF STRAIGHT LINES

1 Easy
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Application +4 | -1
If the equation λx2+2y2−5xy+5x−7y+3=0\lambda x^2+2 y^2-5 x y+5 x-7 y+3=0 represents two straight lines, then find the value of λ\lambda
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Correct option: A
2
Option A (2) is correct because it is the value of λ\lambda that makes the given equation represent two straight lines, derived by applying the condition abc+2fgh−af2−bg2−ch2=0abc + 2fgh - af^2 - bg^2 - ch^2 = 0.

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