Home
Class 12
MATHS
Let f(x)=(x^(4)-lambdax^(3)-3x^(2)+3lamb...

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

A

(a)[-2,2]

B

(b)[0,4]

C

(c)(1,3)

D

(d)None of these

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • FUNCTIONS

    ARIHANT MATHS|Exercise Exercise (More Than One Correct Option Type Questions)|25 Videos
  • FUNCTIONS

    ARIHANT MATHS|Exercise Exercise (Statement I And Ii Type Questions)|11 Videos
  • FUNCTIONS

    ARIHANT MATHS|Exercise Exercise For Session 12|4 Videos
  • ESSENTIAL MATHEMATICAL TOOLS

    ARIHANT MATHS|Exercise Exercise (Single Integer Answer Type Questions)|3 Videos
  • GRAPHICAL TRANSFORMATIONS

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|10 Videos

Similar Questions

Explore conceptually related problems

Range of f(x)=x^2+2 , x is real number is:

Find the range of f(x) = | x - 2 | + 3

f(x)=(x^(2)-2)/(x^(2)-3) . find the range of f(x).

f(x)=(x^(2)+2x+3)/x . Find the range of f(x).

Let f(x)=x^4-x^3 then find f '(2)

Let f(x)=x^3-3x^2+2x Find f'(x)

Let f(x) = (arc tan x)^(3) + (arc cot x)^(3) .If the range of f (x) is [a,b) , then find the value of b/(7a) .

f(x)=(x-1)/(x^(2)-2x+3) Find the range of f(x).

f(x)=abs(x-1)+abs(x-2)+abs(x-3) . Find the range of f(x).

f(x)=log_(3)(5+4x-x^(2)) . find the range of f(x).

ARIHANT MATHS-FUNCTIONS-Exercise (Single Option Correct Type Questions)
  1. If f: (e,oo) rarr R & f(x)=log[log (logx)], then f is -

    Text Solution

    |

  2. The expression x^2-4px+q^2> 0 for all real x and also r^2+ p^2 < qr t...

    Text Solution

    |

  3. Let f(x)=(x^(4)-lambdax^(3)-3x^(2)+3lambdax)/(x-lambda). If range of f...

    Text Solution

    |

  4. Let a=3^(1//224)+1 and for all n ge 3, let f(n)=""^(n)C(0)a^(n-1)-""...

    Text Solution

    |

  5. The area bounded by f(x)=sin^(-1)(sinx) and g(x)=pi/2-sqrt(pi^(2)/2-...

    Text Solution

    |

  6. If f.R rarr R,f(x)=(x^(2)+bx+1)/(x^(2)+2x+b),(b gt 1) " and " f(x), 1/...

    Text Solution

    |

  7. The period of sin""(pi[x])/12+cos""(pi[x])/4+tan""(pi[x])/3, where [x]...

    Text Solution

    |

  8. If f(2x+3y ,2x-7y)=20 x ,t h e nf(x , y)e q u a l sdot 7x-3y 7x+3y...

    Text Solution

    |

  9. The range of the function f(x)=sqrt(x-1)+2sqrt(3-x) is

    Text Solution

    |

  10. The domain of the function f(x)=cos^(-1)(sec(cos^-1 x))+sin^(-1)(cose...

    Text Solution

    |

  11. Let f(x) be a polynominal one-one function such that f(x)f(y)+2=f(x)...

    Text Solution

    |

  12. Let f(x) be a polynominal with real coefficients such that xf(x)=f'(x)...

    Text Solution

    |

  13. Let A={1,2,3,4,5} and f:A rarr A be an into function such that f(x) ne...

    Text Solution

    |

  14. If functions f:{1,2,…,n} rarr {1995,1996} satisfying f(1)+f(2)+…+f(199...

    Text Solution

    |

  15. Find the range of y=sin^3x-6sin^2x+11sinx-6.

    Text Solution

    |

  16. Let f(x)=x^2-2x ,x in R ,a n dg(x)=f(f(x)-1)+f(5-(x))dot Show that g(...

    Text Solution

    |

  17. If f(x) and g(x) are non-periodic functions, then h(x)=f(g(x)) is

    Text Solution

    |

  18. If f(x) is a real-valued function discontinuous at all integral points...

    Text Solution

    |

  19. A function f from integers to integers is defined as f(x)={{:(n+3, n ...

    Text Solution

    |

  20. If f:R->R and f(x)=sin(pi{x})/(x^4+3x^2+7), where {} is a fractional p...

    Text Solution

    |