Home
Class 12
MATHS
If the domain of the function f(x)=cos^(...

If the domain of the function `f(x)=cos^(-1)((2-|x|)/(4))+{log_(e)(3-x)}^(-1)` is `[-alpha,beta)-{gamma}` ,then `[alpha+beta+gamma]` is equal to:

A

9

B

8

C

12

D

11

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • JEE MAIN 2024

    JEE MAINS PREVIOUS YEAR|Exercise Questions|18 Videos
  • JEE MAINS

    JEE MAINS PREVIOUS YEAR|Exercise Physics|30 Videos

Similar Questions

Explore conceptually related problems

If the domain of the function f(x)=log_(e)((2x+3)/(4x^(2)+x-3))+cos^(-1)((2x-1)/(x+2)) is (alpha,beta] , then the value of 5 beta-4 alpha is equal to

Let [1,3] be domain of f(x) .If domain of f(log_(2)(x^(2)+3x-2)) is [-alpha,-beta]uu[gamma ,delta]; alpha ,beta ,gamma ,delta>0 then the value of (alpha+beta+2 gamma+3 delta)/(17) is

If alpha beta gamma are the roots of x^3+x^2-5x-1=0 then alpha+beta+gamma is equal to

If alpha beta gamma are roots of x^(3)+x^(2)-5x-1=0 then alpha + beta + gamma is equal to

Let alpha,beta,gamma be the complex roots of x^(3)-1=0 then,alpha+beta+gamma is equal to

If cos^(-1)alpha+cos^(-1)beta+cos^(-1)gamma=3 pi then alpha beta+beta gamma+gamma alpha equals

If alpha ,beta ,gamma are roots of x^(3)+x^(2)-5x-1=0 then [alpha] + [beta] +[ gamma ] is equal to

If the integral int_(0)^(10) ([sin2pi x])/(e^(x-[x]))dx=alpha e^(-1)+beta e^(-(1)/(2))+gamma , where alpha, beta, gamma are integers and [x] denotes the greatest integer less than or equal to x, then the value of alpha+beta+gamma is equal to :

If the area of the bounded region R= {(x,y): "max" {0, log_(e)x} le y le 2^(x), (1)/(2) le x le 2} is alpha (log_(e)2)^(-1) + beta (log_(e )2) +gamma , then the value of (alpha +beta-2gamma)^(2) is equal to

If alpha, beta ,gamma are the roots of the equation x ^(3) + 2x ^(2) - x+1 =0, then vlaue of ((2- alpha )(2-beta) (2-gamma))/((2+ alpha ) (2+ beta ) (2 + gamma)) is :

JEE MAINS PREVIOUS YEAR-JEE MAIN 2024 ACTUAL PAPER-Question
  1. If 2sin^(3)x+sin2x cos x+4sin x-4=0 has exactly "3" solutions in the i...

    Text Solution

    |

  2. Let A(2, 3, 5) and C(-3, 4, -2) be opposite vertices of parallelogram ...

    Text Solution

    |

  3. If the domain of the function f(x)=cos^(-1)((2-|x|)/(4))+{log(e)(3-x)}...

    Text Solution

    |

  4. The area (in square units) of the region bounded by the parabola y^(2)...

    Text Solution

    |

  5. A triangle has one vertex at (0,0) and the other two on the graph of y...

    Text Solution

    |

  6. Let f:[-(pi)/(2),(pi)/(2)]rarr R be a differentiable function such tha...

    Text Solution

    |

  7. If the length of the minor axis of an ellipse is equal to half of the ...

    Text Solution

    |

  8. Two integers xa n dy are chosen with replacement out of the set {0,...

    Text Solution

    |

  9. A line passing through the point "A(9,0)" makes an angle of 30^(@) wit...

    Text Solution

    |

  10. Consider the system of linear equations x+y+z=4 mu,x+2y+2 lambda z=10 ...

    Text Solution

    |

  11. Let (alpha, beta, gamma) be the foot of perpendicular from the point (...

    Text Solution

    |

  12. If d(1) is the shortest distance between the lines x+1=2y=-12z,x=y+2=6...

    Text Solution

    |

  13. The value of 9int(0)^(9)[sqrt((10x)/(x+1))]dx ,where "[t]" denotes the...

    Text Solution

    |

  14. Let y=y(x) be the solution of the differential equation (1-x^(2))dy=[x...

    Text Solution

    |

  15. Let A={1,2,3,...,7} and let "P(A)" denote the power set of "A" .If the...

    Text Solution

    |

  16. If alpha = 1^2 + 4^2 + 8^2 + 13^2 +........ upto 10 terms and beta = s...

    Text Solution

    |

  17. Number of integral term in the expansion of (7^(1/2)+11^(1/6))^(824)

    Text Solution

    |

  18. If the function f(x)={[(1)/(|x|),,|x|ge2],[ax^(2)+2b,,|x|<2]]is differ...

    Text Solution

    |

  19. Let alpha,beta in N be roots of the equation x^(2)-70x+lambda=0 ,where...

    Text Solution

    |

  20. A group of "40" students appeared in an examination of "3" subjects - ...

    Text Solution

    |