Home
Class 12
MATHS
Let sin^(-1)alpha+sin^(-1)beta+sin^(-1)g...

Let `sin^(-1)alpha+sin^(-1)beta+sin^(-1)gamma=pi` and `alpha, beta, gamma` are non zero real numbers such that `(alpha+beta+gamma)(alpha+beta-gamma)=3alphabeta` then value of `gamma`

A

`(1)/(sqrt(2))`

B

`sqrt3`

C

`(sqrt(3)-1)/(2sqrt(2))`

D

`(sqrt(3))/(2)`

Text Solution

Verified by Experts

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

If alpha, beta, gamma are the cube roots of 8 , then |(alpha,beta,gamma),(beta,gamma,alpha),(gamma,alpha,beta)|=

If cos^(-1) alpha + cos^(-1) beta + cos^(-1) gamma = 3pi , then alpha (beta + gamma) + beta(gamma + alpha) + gamma(alpha + beta) equal to

If alpha,beta,gamma are three distinct real numbers such than 0

Let x-y sin alpha-z sin beta=0;x sin alpha-y+z sin gamma=0 and x sin beta+y sin gamma-z=0 be three planes such that alpha+beta+gamma=(pi)/(2)(alpha,beta,gamma!=0) then the planes

If alpha, beta, gamma be the zeros of the polynomial p(x) such that (alpha+beta+gamma) = 3, (alpha beta+beta gamma+gamma alpha) =- 10 and alpha beta gamma =- 24 then p(x) = ?

sin (beta+ gamma- alpha) + sin (gamma+ alpha - beta) + sin (alpha + beta- gamma)- sin (alpha + beta + gamma)=

The minimum value of the expression sin alpha+sin beta+sin gamma, where alpha,beta,gamma are real numbers satisfying alpha+beta+gamma=pi is

If alpha,beta,gamma,in(0,(pi)/(2)), then prove that (si(alpha+beta+gamma))/(sin alpha+sin beta+sin gamma)<1

JEE MAINS PREVIOUS YEAR-JEE MAIN 2024 ACTUAL PAPER-Question
  1. For 0 lt c lt b lt a ,let (a+b-2c)x^(2)+(b+c-2a)x+(c+a-2b)=0 and alpha...

    Text Solution

    |

  2. Let "g(x)" be a linear funchion and f(x)={[g(x),,xle0],[((1+x)/(2+x))^...

    Text Solution

    |

  3. Let sin^(-1)alpha+sin^(-1)beta+sin^(-1)gamma=pi and alpha, beta, gamma...

    Text Solution

    |

  4. Let "S" be the set of postive integral values of "a" for which (ax^(2)...

    Text Solution

    |

  5. If f(x)=(4x-3)/(6x-4),xne2/3,g:R-{2/3}toR-{2/3},g(x)=fof(x) then value...

    Text Solution

    |

  6. Two marbles are drawn in succession from a box containing "10" red,"30...

    Text Solution

    |

  7. If f(x)=|[x^(3),2x^(2)+1,1+3x],[3x^(2)+2,2x,x^(3)+6],[x^(3)-x,4,x^(2)-...

    Text Solution

    |

  8. If the foci of a hyperbola are same as that of the ellipse (x^(2))/(9)...

    Text Solution

    |

  9. If the system of linear equations x-2y+z=-4 ; 2x+alpha y+3z=5; 3x-y+be...

    Text Solution

    |

  10. The sum of series 1/(1-3.1^2+1^4)+2/(1-3.3^2+2^4)+3/(1-3.3^2+3^4)+.......

    Text Solution

    |

  11. Let alpha,beta,gamma,delta in Z and let A(alpha,beta),B(1,0),C(gamma,d...

    Text Solution

    |

  12. A={1,2,3,4} and R={(1,2),(2,3),(1,4)} be a relation on A .Let S be the...

    Text Solution

    |

  13. In the expansion of (1-x^2)(1+x)(1+3/x+3/x^2+1/x^3)^5 the sum of the c...

    Text Solution

    |

  14. If alpha denotes the number of solutions of |1-i|^(x)=2^(x) and beta=(...

    Text Solution

    |

  15. Let vec a and vec b be two vectors such that |vec a|=1,|vec b|=4 ,and ...

    Text Solution

    |

  16. The total number of words (with or without meaning) that can be formed...

    Text Solution

    |

  17. Let S=(-1,oo) and f:S rarr R be defined as f(x)=int(-1)^(x)(e^(t)-1)^(...

    Text Solution

    |

  18. If the integral 525int(0)^((pi)/(2))sin2x cos^((11)/(2))x(1+Cos^((5)/(...

    Text Solution

    |

  19. Let the foci and length of the latus rectum of an ellipse (x^(2))/(a^(...

    Text Solution

    |

  20. Let f:R to R be a function defined by f(x)=(4^x)/(4^x+2) and M=int(f(a...

    Text Solution

    |