Home
Class 12
MATHS
If domain of the function f(x) = sin^(-1...

If domain of the function `f(x) = sin^(-1) (frac{3x - 22}{2x - 19}) + ln (frac{3x^2 + 8x + 5}{x^2 - 3x - 10})` is `(alpha, beta]` then value of `(3 alpha + 10 beta)` is

A

95

B

100

C

98

D

97

Text Solution

Verified by Experts

The correct Answer is:
D
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

If the domain of the function f(x) = (cos^(-1)sqrt(x^(2) - x + 1))/(sqrt(sin^(-1)((2x-1)/(2)))) is the interval (alpha, beta] , then alpha + beta is equal to :

If x^(3)+3x^(2)-9x+c=0 have roots alpha,alpha and beta then possible value of alpha+beta is

If the graph of the function f(x )=(2x+7)/(5) +(3x-5)/(4) +(33)/(10) cuts the x - axis at the point (alpha,beta) , then the value of (alpha+beta) is

If alpha and beta are the roots of 4x^(2) + 3x +7 =0 then the value of 1/alpha + 1/beta is

If sqrt(3x^(2)-7x -30) - sqrt(2x^(2) -7x -5) = x -5 has alpha and beta as its roots, then the value of alpha beta is

If alpha and beta are the zeroes of x^2 - 8x + 1 , then the value of 1/alpha +1/beta - alpha beta is :

If reflection of A(1, -10, 1) about the line frac{x-1}{2} = frac{y-1}{3}=frac{z-2}{5} is (alpha, beta, gamma) then the |2 alpha 3 beta 5 gamma| is

If alpha, beta are roots of x^(2)-2x-1=0 , then value of 5alpha^(4)+12beta^(3) is

Consider the equation 3x^2 +4x - 5 = 0 , if alpha,beta are the roots, then 1/alpha + 1/beta =

JEE MAINS PREVIOUS YEAR-JEE MAIN 2024 ACTUAL PAPER-Question
  1. Three urns A, B and C contain 7 red, 5 black, 5 red, 7 black and 6 red...

    Text Solution

    |

  2. There are 5 points P1, P2, P3, P4, P5 on the side AB, excluding A and ...

    Text Solution

    |

  3. If domain of the function f(x) = sin^(-1) (frac{3x - 22}{2x - 19}) + l...

    Text Solution

    |

  4. If alpha and beta are sum and product of non zero solution of the equa...

    Text Solution

    |

  5. Let f : R rightarrow R be a function given by f(x)={(frac{1 – cos 2x...

    Text Solution

    |

  6. The sum of all rational terms in the expansion of (2^(1/5) + 3^(1/3))^...

    Text Solution

    |

  7. Let the sum of the maximum and the minimum values of the function f(x)...

    Text Solution

    |

  8. A square is inscribed in the circle x^2+y^2-10x-6y+30=0 One side of th...

    Text Solution

    |

  9. Let a unit vector which makes an angle of 60° with 2 hat i + 2 hat j –...

    Text Solution

    |

  10. Let alpha in (0, infty) and A = [[1, 2, alpha], [1, 0, 1], [0, 1, 2]]....

    Text Solution

    |

  11. Let alpha, beta in R. If the mean and the variable of 6 observation, -...

    Text Solution

    |

  12. If 2 and 6 are the roots of the equation ax^2 + bx + 1 = 0, then the q...

    Text Solution

    |

  13. Let the first three terms 2, p and q, which q ne 2, of a G.P. be respe...

    Text Solution

    |

  14. Let f(x) ={(-2,-2 le x le 0), (x-2, 0 lt x le 2):} h(x) = f(|x|) + |f...

    Text Solution

    |

  15. If the system of equations x + (sqrt 2 sin alpha) y + (sqrt 2 cos al...

    Text Solution

    |

  16. Let the point, on the line passing through the points P(1, -2, 3) and ...

    Text Solution

    |

  17. In a survey of 220 students of a higher secondary school, it was found...

    Text Solution

    |

  18. Let A be a square matrix of order 2 such that |A| = 2 and the sum of i...

    Text Solution

    |

  19. Let A be a 3 times 3 matrix of non-negative real elements such that A[...

    Text Solution

    |

  20. If lim(xrarr1) frac{(5x +1)^(1/3) – (x + 5)^(1/3)}{(2x + 3)^(1/2) – (x...

    Text Solution

    |