Home
Class 12
MATHS
If alpha and beta are the roots of the e...

If `alpha and beta` are the roots of the equation `x^(2)+5|x|-6=0`, then the value of the `|tan^(-1)alpha-tan^(-1)beta|` is

A

`(pi)/(2)`

B

0

C

`pi`

D

`(pi)/(4)`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • MATRICES

    NIKITA PUBLICATION|Exercise MULTIPLE CHOICE QUESTIONS|277 Videos
  • MHT-CET 2018

    NIKITA PUBLICATION|Exercise MCQ|50 Videos

Similar Questions

Explore conceptually related problems

If alpha and beta are roots of the equation x^(2)+5|x|-6=0, then the value of |tan^(-1)alpha-tan^(-1)beta| is

IF alpha,beta are the roots of the equation 6x^(2)-5x+1=0 , then the value of tan^(-1)alpha+tan^(2)beta is

If alpha, beta are the roots of the equation 6x^(2) - 5x + 1 = 0 , then the value of (1)/(pi) [tan ^(-1) (alpha) + tan^(-1) (beta)] is ________

NIKITA PUBLICATION-MHT-CET 2017-MCQ
  1. O(0,0), A(1,2), B(3,4) are the vertices of DeltaOAB. The joint equatio...

    Text Solution

    |

  2. If int(1)/((x^(2)+4)(x^(2)+9))dx=A" tan"^(-1)(x)/(2)+Btan^(-1)((x)/(3)...

    Text Solution

    |

  3. If alpha and beta are the roots of the equation x^(2)+5|x|-6=0, then t...

    Text Solution

    |

  4. If x=a(t-(1)/(t)),y=a(t+(1)/(t)), where t be the parameter, then (dy)/...

    Text Solution

    |

  5. The point on the curve y= sqrt(x-1) where the tangent is perpen...

    Text Solution

    |

  6. If intsqrt((x-5)/(x-7))dx = A sqrt(x^(2) - 12 x + 35) + log|x-6 +sqr...

    Text Solution

    |

  7. The number of principal solutions of tan2theta=1 is

    Text Solution

    |

  8. The objective function, z=4x(1)+5x(2), subject to 2x(1)+x(2)ge7,2x(1)+...

    Text Solution

    |

  9. If z(1) and z(2) are z-coordinates of the points of trisection of the ...

    Text Solution

    |

  10. The maximum value of f(x)=(logx)/(x)(x ne 0, x ne1) is

    Text Solution

    |

  11. int(0)^(1)xtan^(-1)xdx=

    Text Solution

    |

  12. If c denotes the contradication, then dual of the compound statement ~...

    Text Solution

    |

  13. All parabolas whose axis is the Y-axis.

    Text Solution

    |

  14. int(0)^(3)[x]dx=…, where [x] is greatest integer function.

    Text Solution

    |

  15. The objective function off LPP defined over the convex set attains it ...

    Text Solution

    |

  16. IF the inverse of the matrix [(alpha , 14,-1),(2,3,1),(6,2,3)] ...

    Text Solution

    |

  17. Find the value of k, if the function f given by : {:(f(x)=[tan((pi)/...

    Text Solution

    |

  18. For a invertible matrix A if A (adj A) =[(10,0),(0,10)] then |A...

    Text Solution

    |

  19. The solution of the differential equation (dy)/(dx)="tan"((y)/(x))+(y)...

    Text Solution

    |

  20. In DeltaABC, if sin^(2)A+sin^(2)B=sin^(2)C and l(AB)=10, then the maxi...

    Text Solution

    |