2. Sample Papers
  3. NTSE

NTSE Sample Paper NTSE SAT Practice Test-7

  • question_answer
    1f \[a+\frac{1}{a}=\sqrt{3}\]then the value of \[{{a}^{3}}+\frac{1}{{{a}^{3}}}\] is   

    A) 0       

    B) 3

    C) \[3\sqrt{3}\]                  

    D) \[9\sqrt{3}\]

    Correct Answer: A

    Solution :

    [a] \[{{a}^{3}}+\frac{1}{{{a}^{3}}}={{\left( a+\frac{1}{a} \right)}^{3}}-3\left( a+\frac{1}{a} \right)\] \[={{(\sqrt{3\,})}^{3}}-3.\,\,\sqrt{3}=3\sqrt{3}-3\sqrt{3}=0\]                


You need to login to perform this action.
You will be redirected in 3 sec spinner