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Question

The set A = {x:x ∈ R, x2 = 16 and 2x = 6} equals


A

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B

{14, 3, 4}

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C

{3}

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D

{4}

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Solution

The correct option is A


x2 = 16 ⇒ x = ± 4

2x = 6 ⇒ x=3

There is no value of x which satisfies both the above equations.

Thus, A = ∅.


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