Home
Class 12
MATHS
Let f(x ) = ( alpha x^2 )/(x+1),x ne ...

Let `f(x ) = ( alpha x^2 )/(x+1),x ne -1` the value of ` alpha ` for which ` f(a) =a , (a ne 0)` is

A

`1- 1/a`

B

`1/a`

C

`1+1/a`

D

`1/a-1`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • RELATIONS AND FUNCTIONS

    NEW JOYTHI PUBLICATION|Exercise EXERCISE|25 Videos

  • PROBABILITY

    NEW JOYTHI PUBLICATION|Exercise QUESTIONS FROM COMPETITIVE EXAMS|20 Videos

  • SEQUENCES AND SERIES

    NEW JOYTHI PUBLICATION|Exercise QUESTIONS FROM COMPETITIVE EXAMS|105 Videos

Similar Questions

Explore conceptually related problems

Let f(x)=(alpha x)/(x+1), x ne -1. Then, for what value of alpha " is " f[f(x)]=x ?

Let f(x+(1)/(x) ) =x^2 +(1)/(x^2) , x ne 0, then f(x) =?

Let f(x)=(alphax)/((x+1)),x!=-1. The for what value of alpha is f(f(x))=x (a) sqrt(2) (b) -sqrt(2) (c) 1 (d) -1

Let f(x) = ax^(2) - bx + c^(2), b ne 0 and f(x) ne 0 for all x in R . Then

Let f(x)=ax^(2)+bx+c , a ne 0 , a , b , c in I . Suppose that f(1)=0 , 50 lt f(7) lt 60 and 70 lt f(8) lt 80 . Number of integral values of x for which f(x) lt 0 is

If f(x) = (2x + 3 sin x)/( 3x + 2 sin x), x ne 0 is continuous at x = 0 , then find f(0)

Let f(x)=x^2-2x-1 AA x in R Let f:(-oo, a]->[b, oo) , where a is the largest real number for which f(x) is bijective. If f : R->R , g(x) = f(x) + 3x-1 , then the least value of function y = g(|x|) is

Let f(x) = 2x + 5. If x ne 0 then find (f (x +2) - f(2))/(x)

If f (x) = (x + 1)/(x - 1) is a real function , x ne 1 , then f [f(2)] is . . . .

NEW JOYTHI PUBLICATION-RELATIONS AND FUNCTIONS -QUESTIONS FROM COMPETITIVE EXAMS
  1. If a function f satisfies f (f(x))=x+1 for all real values of x ...

    Text Solution

    |

  2. If f is a real valued function such that f(x+y) = f(x) + f(y)...

    Text Solution

    |

  3. Let f(x ) = ( alpha x^2 )/(x+1),x ne -1 the value of alpha for ...

    Text Solution

    |

  4. Let A = { x,y,z } and b= {a,b,c,d}. which one of the following...

    Text Solution

    |

  5. The domain of the function f (x) = (1)/(sqrt(9-x^2)) is

    Text Solution

    |

  6. If n (A) =5 and n(B ) =7 , then the number of relations on A ...

    Text Solution

    |

  7. Let phi (x) = ( b(x-a))/(b-a)+(a(x-b))/(a-b) , where x in R and ...

    Text Solution

    |

  8. The range of the functions f(x) = (x^2 +8)/(x^2 +4) x in R is

    Text Solution

    |

  9. Let f (x) = [x] , where [x] denotes the greater integer less t...

    Text Solution

    |

  10. In the given figure the angle at A is pi/2 then the graph repre...

    Text Solution

    |

  11. The image of the interval [-1,3] under the mapping f : R to R ...

    Text Solution

    |

  12. the domain of the function f(x) = ( log (x+3))/(x^2 +3x +2) is

    Text Solution

    |

  13. The number of function that can be defined from the set A = {...

    Text Solution

    |

  14. The range of the function f(x) = x^2 +2x +2 is

    Text Solution

    |

  15. IF f(x) = ( x+2)/(3x-1) , then f(f(x)) is

    Text Solution

    |

  16. The function f (x) = log (x + sqrt(x^2 +1)) is

    Text Solution

    |

  17. Domain of definitation of the function f(X ) = (3)/(4-x^2) + ...

    Text Solution

    |

  18. If F :R to R satisfies f(x +y ) =f(x) + f(y) for all x ,y in R ...

    Text Solution

    |

  19. The graph of the function y= f (x) is symmetrical about the line...

    Text Solution

    |

  20. A real valued function f (x) satisfies the functional equation f...

    Text Solution

    |