JEE Main & Advanced Mathematics Sets Question Bank Set theory

  • question_answer
    The set \[A=\{x:x\in R,\,{{x}^{2}}=16\] and \[2x=6\}\] equals [Karnataka CET 1995]

    A) \[\varphi \]

    B) {14, 3, 4}

    C) {3}

    D) {4}

    Correct Answer: A

    Solution :

    \[{{x}^{2}}=16\] Þ \[x=\pm 4\] \[2x=6\]  Þ \[x=3\] There is no value of x which satisfies both the above equations. Thus, \[A=\varphi \].


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