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Question

A={x:xR, x2=16 and 2x=6} can be represented in the roster form as _________ .


A

A = {}

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B

A = { 14, 3, 4 }

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C

A = { 3 }

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D

A = { 4 }

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Solution

The correct option is A

A = {}


x2=16x=±4

2x=6x=3

There is no value of x which satisfies both the given equations. The set A is an empty set or a null set.

Thus, A = {}.


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