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JEE MATHEMATICS MCQ: FUNCTIONS

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Analyzing +4 | -1
If A={3n:n∈N,n≀6},B={9n:n∈N,n≀4}A=\left\{3^{\mathrm{n}}: n \in \mathbf{N}, n \leq 6\right\}, B=\left\{9^{\mathrm{n}}: n \in \mathbf{N}, n \leq 4\right\} then which of the following is false
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Correct option: A
AΞ”B={6561}A \Delta B=\{6561\}
Option A (AΞ”B={6561}A \Delta B=\{6561\}) is false because the symmetric difference AΞ”BA \Delta B should include all elements in A or B but not in both, which is {3, 27, 243, 6561}, not just {6561}.

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