Home
Class 12
MATHS
Let D be the domain of the function f(x)...

Let D be the domain of the function `f(x)=sin^(-1)(log_(3x)((6+2log_3x)/(-5x))).` If the range of the function `g : D rarrRR `defined by `g(x)=[x].([x])` is the greatest integer function), is `(alpha,beta)`then `a^2+5/beta` is equal to

A

`136`

B

`135`

C

`46`

D

`45`

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • JEE MAIN 2022

    JEE MAINS PREVIOUS YEAR|Exercise Question|454 Videos
  • JEE MAIN 2024

    JEE MAINS PREVIOUS YEAR|Exercise Questions|18 Videos

Similar Questions

Explore conceptually related problems

The domain of the function f(x)=sin^(-1)log_(3)(x/3)) is

Find the domain of the function : f(x)=sin^(-1)(log_(2)x)

The domain of the function f(x)=sqrt(sin^(-1)(log_(2)x)) is

the domain of the function f(x)=log_(3+x)(x^(2)-1) is

The domain of the function f(x)=log_(3+x)(x^(2)-1) is

The domain of the function f(x)=(log)_(3+x)(x^(2)-1) is

The domain of the function f(x)=log_(2)[log_(3)(log_(4)(x^(2)-3x+6)}]is

The domain of the function f(x)=log_(2)[log_(3)(log_(4)(x^(2)-3x+6)}]is

JEE MAINS PREVIOUS YEAR-JEE MAIN 2023-Question
  1. Let an be a sequence such that a1+a2+.....+an= (n^2+3n)/((n+1)(n+2)) I...

    Text Solution

    |

  2. Let P((2sqrt3)/(sqrt7),6/(sqrt7)),Q,R,and S be four points on the elli...

    Text Solution

    |

  3. Let D be the domain of the function f(x)=sin^(-1)(log(3x)((6+2log3x)/(...

    Text Solution

    |

  4. Let the plane P: 4x-y+=10 be rotated by an angle pi/2 about its line o...

    Text Solution

    |

  5. The sum ,of the coefficients of the first 50terms in the binomial of (...

    Text Solution

    |

  6. Let y=y(x),y>0, be a solution curve the differential equation (1+x^2)b...

    Text Solution

    |

  7. The atea of the region enclosed by the curve y=x^3 and its tangent at ...

    Text Solution

    |

  8. Two dice A and B are rolled .Let the number obtained on A and B be alp...

    Text Solution

    |

  9. if (1/(n+1)) ^nCn+(1/n)^nC(n-1)+....+(1/2)^nC1 + ^nC0=(1023)/(10) then...

    Text Solution

    |

  10. If A[[1,1/51],[0,1]]. If B [[1,2],[-1,-1]] A [[-1,-2],[1,1]] ,then the...

    Text Solution

    |

  11. Let alpha ,beta be the roots of the quadratic equation x^2+sqrt6x +3=...

    Text Solution

    |

  12. Let the lines l1:(x+5)/3 =(y+4)/1=(z-alpha /-2) and l2:3x+2y+z-2=0=x-3...

    Text Solution

    |

  13. Let a,b,c be three distinct real numbers ,none equal to one . If the v...

    Text Solution

    |

  14. In a triangle ABC , if cos A +2 cos B + cos C=2 and the lengths of th...

    Text Solution

    |

  15. Among the two statements (S1) :(p implies q)^^(p^^(~q)) is a contrad...

    Text Solution

    |

  16. Let the plane x+3y-2z+6=0 meet the co-ordinate axes at the points A,B...

    Text Solution

    |

  17. A fair n(n gt1) faces die is rolled repeatedly until a number less tha...

    Text Solution

    |

  18. Let I (x)=int sqrt(x+7)/x dx and I(9)=12+7log (e) 7. If I(1)=alpha+7l...

    Text Solution

    |

  19. Let the digits a,b,c be in A.P. Nine -digit numbers are to be formed u...

    Text Solution

    |

  20. Two circles in the first quadrant of radii r1 and r2 tought the coordi...

    Text Solution

    |