2. Questions Bank
  3. 10th Class
  4. Mathematics
  5. Related to Competitive Exam

10th Class Mathematics Related to Competitive Exam Question Bank Algebra

  • question_answer
    For which of the following function is : \[\frac{f-f}{a-b}\] Constant for all number a and b where \[a\ne b\]?

    A) \[f(x)=4x+7\]      

    B)  \[f(x)=x+{{x}^{2}}\]

    C)  \[f(x)=\cos x\]      

    D)         \[f(x)={{\log }_{e}}x\]

    Correct Answer: A

    Solution :

    If             \[f(x)=4x+7\] Then\[\frac{f-f}{a-b}=\frac{(4a+7)-(4b+7)}{a-b}\]                            \[=\frac{4(a-b)}{(a-b)}\]                            \[=4\](constant). It is constant for all numbers \[a\] and\[b\], where\[a\ne b\].


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