2. Solved Papers
  3. CEE Kerala Engineering

CEE Kerala Engineering CEE Kerala Engineering Solved Paper-2006

  • question_answer
    If\[A+B=\frac{\pi }{4},\]then\[(tan\text{ }A+1)\text{ }(tan\text{ }B+1)\]equals:

    A)  1                            

    B)         \[\sqrt{3}\]

    C)  2                            

    D)         \[\frac{1}{\sqrt{3}}\]

    E) \[\frac{1}{2}\]

    Correct Answer: C

    Solution :

    \[\therefore \]  \[A+B=\frac{\pi }{4}\Rightarrow \tan (A+B)=1\] \[\Rightarrow \]               \[\frac{\tan A+\tan B}{1-\tan A\tan B}=1\] \[\Rightarrow \]               \[\tan A+\tan B+\tan A\tan B=1\] \[\Rightarrow \]               \[(1+\tan A)(1+\tan B)=1+1=2\]


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