Home
Class 12
MATHS
The range of values of ‘a' such that (1...

The range of values of ‘a' such that `(1/2)^|x|= x² - a` is satisfied for maximum number of values of 'x'

A

`(-infty,-1)`

B

`(-infty,infty)`

C

`(-1,1)`

D

`(-1,infty)`

Text Solution

Verified by Experts

The correct Answer is:
D
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

Find the maximum value of sin x cos x.

The maximum value of (ln x)/x is

The number of integral values of K' the inequality |(x^2+kx+1)/(x^2+x+1)|<3 is satisfied for all real values of x is....

Find all values of the parameter a for which the inequality a.9^x +4(a-1)3^x+a gt 1 is satisfied for all real values of x

If x<0, what is the maximum value of x + 1/x

If x is real, the maximum value of x^2 -8x + 17 is

The set of values of x, satisfying the equation tan^2(sin^-1x) > 1 is -

Let f(x)=x+(1)/(x),xne0. Discuss the maximum and minimum value of f(x).

If cosec^(-1) ( cosec x) " and " cosec ( cosec^(-1) x) are equal functions, then the maximum range of value of x is

ARIHANT MATHS-FUNCTIONS-Exercise (Single Option Correct Type Questions)
  1. If a function satisfies f(x+1)+f(x-1)=sqrt(2)f(x), then period of f(x)...

    Text Solution

    |

  2. If x and alpha are real, then the inequation log(2)x+log(x)2+2cos al...

    Text Solution

    |

  3. The range of values of ‘a' such that (1/2)^|x|= x² - a is satisfied f...

    Text Solution

    |

  4. Let f:R rarr R be a function defined by f(x)={abs(cosx)}, where {x} re...

    Text Solution

    |

  5. The domain of the function f(x)=sqrt(log(sinx+cosx)(abs(cosx)+cosx))...

    Text Solution

    |

  6. If f(x)=(x^(2)+2alphax+alpha^(2)-1)^(1//4) has its domain and range su...

    Text Solution

    |

  7. If f: (e,oo) rarr R & f(x)=log[log (logx)], then f is -

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  14. 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

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |