Home
Class 12
MATHS
Let f (x)= [{:(2x+3,x gt 1),(alpha ^(2) ...

Let `f (x)= [{:(2x+3,x gt 1),(alpha ^(2) x+1,x le1):}` If range of `f (x)=R` (set of real numbers) then number orf integral value(s), which `alpha` any take :

A

2

B

3

C

4

D

5

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • FUNCTION

    VK JAISWAL|Exercise ONE OR MORE THAN ONE ANSWER IS/ARE CORRECT|25 Videos

  • FUNCTION

    VK JAISWAL|Exercise COMPREHENSION TYPE PROBLEMS|15 Videos

  • ELLIPSE

    VK JAISWAL|Exercise Exercise-4 : Subjective Type Problems|2 Videos

  • HYPERBOLA

    VK JAISWAL|Exercise Exercise-4 : Subjective Type Problems|3 Videos

Similar Questions

Explore conceptually related problems

Let f(x)=(x^(4)-lambdax^(3)-3x^(2)+3lambdax)/(x-lambda). If range of f(x) is the set of entire real numbers, the true set in which lambda lies is

Let f(x) = {(|x-1|+ a",",x le 1),(2x + 3",",x gt 1):} . If f(x) has local minimum at x=1 and a ge 5 then the value of a is

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

For f:N rarr R f(x)=(x^(3)-11^(3))^(1//3) , the number of positive integral values f(x) can take is

VK JAISWAL-FUNCTION -SUBJECTIVE TYPE PROBLEMS
  1. Let f (x)= [{:(2x+3,x gt 1),(alpha ^(2) x+1,x le1):} If range of f (x...

    Text Solution

    |

  2. Let f(x) be a polynomial of degree 6 with leading coefficient 2009. Su...

    Text Solution

    |

  3. Let f (x) =x ^(3)-3x Find f (f (x))

    Text Solution

    |

  4. If f(x+y+1)={sqrt(f(x))+sqrt(f(y))}^2 and f(0)=1AAx ,y in R ,d e t e ...

    Text Solution

    |

  5. If the domain of f(x) = sqrt (12-3^(x)-3^(3-x))+ sin ^(-1) ((2x)/(3 ...

    Text Solution

    |

  6. The number of elements in the range of functions: y=sin^(-1) [x^(2)+5/...

    Text Solution

    |

  7. The number of integers in the range of function f(x)= [sinx] + [cosx] ...

    Text Solution

    |

  8. If P (x) is polynomial of degree 4 such than P (-1)=P (1) =5 and P (-2...

    Text Solution

    |

  9. The number of integral vlaue (s) of k for which the curve y = sqrt ( ...

    Text Solution

    |

  10. Let the solution set of the equation sqrt([x+[x/2]])+[sqrt({x})+[x/3]]...

    Text Solution

    |

  11. For the real number x, let f (x)=(1)/( ""^(2011sqrt(1-x^(2011)))). Fi...

    Text Solution

    |

  12. Find the number of elements contained in the range of the function f (...

    Text Solution

    |

  13. Let f (x,y)= x^(2) - y^(2) and g (x,y) = 2xy. such that (f ( x,y))^(2)...

    Text Solution

    |

  14. Let f (x) = (x+5)/(sqrt(x^(2)) +1) AA x in R, then the smallest integr...

    Text Solution

    |

  15. The number of integral vaues of which f : R to R ,f (x) = (x ^(2))/(3)...

    Text Solution

    |

  16. The number of roots of equation ((x-1)(x-3))/((x-2)(x-4))-e^(x)) ((x+1...

    Text Solution

    |

  17. Let f(x)=x^2-bx+c,b is an odd positive integer. Given that f(x)=0 ha...

    Text Solution

    |

  18. Let f(x) be a continuous function such that f(0) = 1 and f(x)=f(x/7)=x...

    Text Solution

    |

  19. If f (x) = 4x ^(3) -x ^(2) -2x +1 and g (x) = {{:(min {f(t): 0 le t le...

    Text Solution

    |

  20. If x=10 sum(r=3) ^(100) (1)/((r ^(2) -4)), then [x]= (where [.] deno...

    Text Solution

    |

  21. Let f x = (ax+b)/(xa+d), where a,b,c d are non zero If f (7) =7,f (11)...

    Text Solution

    |