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JEE MATHEMATICS MCQ: 2D GEOMETRY SYSTEM

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If the point (a,a)(a, a) fall between the lines ∣x+y∣=2|x+y|=2, then
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Correct option: C
∣a∣<1|a| < 1
Option C (∣a∣<1|a| < 1) is correct because substituting (a, a) into the inequality derived from ∣x+y∣<2|x+y|<2 gives ∣2a∣<2|2a|<2, which simplifies to ∣a∣<1|a|<1.

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