Home
Class 12
MATHS
If tan alpha, tan beta, tangamma are th...

If `tan alpha, tan beta, tangamma` are the roots of the equation, `x^3- (a + 1) x^2 + (b - a) x-b= 0, (b-a !=1)` Where `alpha + beta +gamma` lies between `0 & pi` then `alpha + beta +gamma` is equal to

A

`pi//4`

B

`pi//2`

C

`3pi//4`

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • DEFINITE INTEGRATION & ITS APPLICATION

    RESONANCE|Exercise High Level Problem|37 Videos
  • EQUATIONS

    RESONANCE|Exercise EXERCISE-2 (PART-II: PREVIOUSLY ASKED QUESTION OF RMO) |7 Videos

Similar Questions

Explore conceptually related problems

If tan alpha,tan beta, tan gamma are the roots of the equation,x^(3)-(a+1)x^(2)+(b-a)x-b=0,(b-a!=1) Where alpha+beta+gamma lies between 08 pi then alpha+beta+gamma is equal to

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

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

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

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

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

RESONANCE-DPP-QUESTION
  1. Find maximum and minimum values of 2sin(theta+(pi)/(6))+sqrt(3)cos(the...

    Text Solution

    |

  2. Solve (tan3x-tan2x)/(1+tan3xtan2x ')=1

    Text Solution

    |

  3. If tan alpha, tan beta, tangamma are the roots of the equation, x^3- ...

    Text Solution

    |

  4. Value of (4\ sin 9^@ sin 21^@ sin 39^@ sin 51^@ sin 69^@ sin 81^@)/(si...

    Text Solution

    |

  5. The graph of y = f(x) is given below then the graph y = |f(|x|)| ...

    Text Solution

    |

  6. If a,b,c are distinct positive numbers in H.P. then which of the relat...

    Text Solution

    |

  7. If the sum of first 100 terms of an arithmetic progression is - 1 and ...

    Text Solution

    |

  8. If the solution of the equation (x^4-9) -(x^2 + 3)| = [x^4 - 9| - |x^2...

    Text Solution

    |

  9. Let Tn denotes the n^(th) term of a G.P. with common ratio 2 and (lo...

    Text Solution

    |

  10. Draw the labled graph of following (i) y = |7-2x| , (ii) y = |x-1|-|3...

    Text Solution

    |

  11. Which one of the following inequality holds good (A) cos 12^@ lt tan 1...

    Text Solution

    |

  12. If x = cos alpha + cos beta - cos(alpha +beta) and y = 4 sin '(alpha)...

    Text Solution

    |

  13. Find the sum of the series 1+2(1-x)+3(1-x)(1-2x)++n(1-x)(1-2x)(1-3x)[1...

    Text Solution

    |

  14. If a,b respectively be the number of solutions and sum of solutions of...

    Text Solution

    |

  15. The equation |x + 2| - |x + 1| + |x -1| =K,x in R has two solutions i...

    Text Solution

    |

  16. If |sin^2 x + 17 - x ^2| = |16 - x^2| + 2sin^2 x + cos^2 x then subset...

    Text Solution

    |

  17. Msolution set of the inequality sqrt(7-x) > 2x-3 , is contained by the...

    Text Solution

    |

  18. Let y = cosx (cosx - cos 3x). Then y is

    Text Solution

    |

  19. The (m + 1)^(th) term of (x/y+y/x)^(2m + 1 ) is

    Text Solution

    |

  20. The remainder when 2^(2003) is divided by 17 is:

    Text Solution

    |