2. Solved Papers
  3. JCECE Engineering

JCECE Engineering JCECE Engineering Solved Paper-2003

  • question_answer
    If\[x>1,\,\,y>1,\,\,z>1\]are in\[GP\], then\[\frac{1}{1+\log x},\,\,\frac{1}{1+\log y},\,\,\frac{1}{1+\log z}\]are in:

    A) \[AP\]                                  

    B) \[HP\]

    C) \[GP\]                                  

    D)   none of these

    Correct Answer: B

    Solution :

    Since,\[x,\,\,\,y\] and \[z\] are in \[GP\] \[\therefore \]  \[{{y}^{2}}=xz\] On taking log on both sides, we get                 \[2\log y=\log x+\log z\] On adding 2 on both sides, we get                 \[2\log y+2=\log x+1+\log z+1\] \[\Rightarrow \]\[1+\log x,\,\,1+\log y,\,\,1+\log z\]are in\[AP\]. \[\Rightarrow \]\[\frac{1}{1+\log x},\,\,\frac{1}{1+\log y},\,\,\frac{1}{1+\log z}\]are in\[HP\].


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