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JEE MATHEMATICS MCQ: SET THEORY

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Statement-I: The set {x\left\{x\right. : xx is a real number and x2−1=0}\left.x^2-1=0\right\} is the empty set.

Statement-II: The set A={x:x∈R,x2=16{A}=\left\{{x}: {x} \in {R}, {x}^2=16\right. and 2x=6}\left.2 {x}=6\right\} is an empty set.
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Correct option: B
Statement II is true
Statement II is true because the set A is empty since there is no real number that satisfies both conditions x2=16x^2 = 16 and 2x=62x = 6 simultaneously.

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