Home
Class 11
MATHS
A function defined by f(x)=(x^(2)-ax+1)/...

A function defined by `f(x)=(x^(2)-ax+1)/(x^(2)+ax+1),0ltalt2`
Which of the following is true ?

A

`(2+a)^(2)f''(1)+(2-a)^(2)f''(-1)=0`

B

`(2-a)^(2)f''(1)-(2+a)^(2)f''(-1)=0`

C

`fcancelc(1)cancelc(-1)=(2-a)^(2)`

D

`fcancelc(1)fcancelc(-1)=-(2+a)^(2)`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • MAXIMA AND MINIMA

    AAKASH SERIES|Exercise ADDITIONAL PRACTICE EXERCISE (LEVEL - II (LECTURE SHEET )(ADVANCED)) (INTEGER TYPE QUESTIONS)|3 Videos

  • MAXIMA AND MINIMA

    AAKASH SERIES|Exercise ADDITIONAL PRACTICE EXERCISE (LEVEL - II (PRACTICE SHEET )(ADVANCED)) (MORE THAN ONE CORRECT ANSWER TYPE QUESTIONS)|11 Videos

  • MAXIMA AND MINIMA

    AAKASH SERIES|Exercise ADDITIONAL PRACTICE EXERCISE (LEVEL - II (LECTURE SHEET )(ADVANCED)) (MATRIX MATCHING TYPE QUESTIONS)|2 Videos

  • MAXIMA & MINIMA

    AAKASH SERIES|Exercise EXERCISE-III|35 Videos

  • MEAN VALUE THEOREMS

    AAKASH SERIES|Exercise PRACTICE SHEET (EXERCISE-I (LEVEL-II (MORE THAN ONE CORRECT ANSWER TYPE QUESTIONS ) )|2 Videos

Similar Questions

Explore conceptually related problems

A function defined by f(x)=(x^(2)-ax+1)/(x^(2)+ax+1),0ltalt2 Let g(x)=int_(0)^(e^(x))(f'(t))/(1+t^(2))dt Which of the following is true ?

Let f(x) = sinx + ax+b . Then which of the following is/are true ?

If A = {1, 2, 3, 4} and f: A to R is a function defined by f(x) = (x^(2) -x+1)/(x+1) then find the range of f.

Let f: R rarr R be a function defined by f(x)=(x^(2)+2x+5)/(x^(2)+x+1) is

If the line ax+by =1 is a tangent to the circle S_(r) equiv x^(2)+y^(2)-r^(2)=0 , then which one of the following is true ?

Let f(x)={{:(((x-1)(6x-1))/(2x-1)",",ifx ne(1)/(2)),(0",",ifx=(1)/(2)):} Then at x=(1)/(2) , which of the following is/are not true ?