Home
Class 11
MATHS
sum(m=1)^(oo)Tan^(-1) ((2m)/(m^(4)+m^(2)...

`sum_(m=1)^(oo)Tan^(-1) ((2m)/(m^(4)+m^(2)+2))=`

A

`-(pi)/(4)`

B

`(4)/(pi)`

C

`(pi)/(4)`

D

`-(4)/(pi)`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • REVISION EXERCISE

    AAKASH SERIES|Exercise HYPERBOLIC FUNCTIONS|10 Videos

  • REVISION EXERCISE

    AAKASH SERIES|Exercise PROPERTIES OF TRIANGLES|57 Videos

  • REVISION EXERCISE

    AAKASH SERIES|Exercise THRIGONOMETRIC EQUATIONS|22 Videos

  • REAL FUNCTIONS

    AAKASH SERIES|Exercise EXERCISE-1|34 Videos

  • STRAIGHT LINES

    AAKASH SERIES|Exercise ADDITIONAL PRACTICE EXERCISE (LEVEL-II (ADVANCED) PRACTICE SHEET (ADDVANCED)) (Comprehension Type Questions)|6 Videos

Similar Questions

Explore conceptually related problems

If sum_(r=1)^(10)tan^(-1)(3/(9r^(2)+3r-1))=cot^(-1)(m/n) (where m and n are coprime) then the value of ((2m+n))/8 is

Tan^(-1)(m/n)-Tan^(-1)((m-n)/(m+n))=

Assertion (A) : the sum and product of the slopes of the tangents to the ellipse (x^2)/(9)+(y^2)/(4)=1 drawn from the points (6,-2) are -8/9 ,1. Reason(R): if m_(1),m_(2) are the slopes of the tangents through (x_(1),y_(1)) of the ellipse, then m_(1)+m_(2)=(2x_(1).y_(1))/(x_(1)^(2)-a^(2)) m_(1).m_(2)=(y_(1)^(2)-b^(2))/(x_(1)^(2)-a^(2))

If D_(r)=|{:(2r-1,""^(m)C_(r),1),(m^(2)-1,2^(m),m+1),(sin^(2)(m^(2)),sin^(2)(m),sin^(2)(m+1)):}| then find sum_(r=0)^(m)D_(r) .

If (l_(1),m_(1),n_(1)),(l_(2),m_(2),n_(2)) are d.c's of two lines then find the value of (l_(1)m_(2)-l_(2)m_(1))^(2)+(m_(1)n_(2)-n_(1)m_(2))^(2)+(n_(1)l_(2)-n_(2)l_(1))^(2)+(l_(1)l_(2)+m_(1)m_(2)+n_(1)n_(2))^(2)

If the locus of the mid points of the chords of the ellipse (x^(2))/(a^(2)) +(y^(2))/( b^(2)) =1 , drawn parallel to y=m_1x is y=m_2x then m_1m_2=

m^2(m-2)+2m^2(m+3)-6m (m-4) =_

AAKASH SERIES-REVISION EXERCISE-INVERSE TRIGONOMETRIC FUNCTIONS
  1. Range of Sin^(-1)x+Cos^(-1)x+Tan^(-1)x is

    Text Solution

    |

  2. Value of underset(n rarr infty )(Lim) sum(r = 1)^(n) Tan^(-1) ((1)/(2r...

    Text Solution

    |

  3. sum(m=1)^(oo)Tan^(-1) ((2m)/(m^(4)+m^(2)+2))=

    Text Solution

    |

  4. If sin^(-1)(x-(x^2)/(2)+(x^3)/(4)-...infty)+cos^(-1)(x^2-(x^4)/(2)+(x^...

    Text Solution

    |

  5. If a(1),a(2),a(3),...a(n) are in A.P. with common difference d, then t...

    Text Solution

    |

  6. The number of solution of the equation Tan^(-1) sqrt(x^(2)+x)+"Cosec"^...

    Text Solution

    |

  7. The number of real solutions of Tan^(-1)sqrt(x(x+1))+Sin^(-1)sqrt(x^(2...

    Text Solution

    |

  8. If x(1),x(2),x(3) are the roots of x^(3)-6x^(2)+11x-6=0 then cot^(-1)(...

    Text Solution

    |

  9. If A=Tan^(-1)((1)/(7)), B=Cot^(-1)(3) then

    Text Solution

    |

  10. Cot^(-1)(sqrt(Cos alpha))-Tan^(-1)( sqrt(Cos alpha))=x then Sinx=

    Text Solution

    |

  11. If 1/2 le x le 1, then cos^(-1)x+cos^(-1)(x/2+1/2sqrt(3-3x^2)) is equ...

    Text Solution

    |

  12. cos^(-1) sqrt((a-x)/(a-b))= sin^(-1) sqrt((x-b)/(a-b)) is possible if

    Text Solution

    |

  13. The value of lim(|x| to oo) cos(tan^(-1)(sin(tan^(-1)x))) is equal to

    Text Solution

    |

  14. If p gt q gt r gt 0 then sum Cot^(-1)((pq+1)/(p-q))=

    Text Solution

    |

  15. If 0 le x le1 and theta=Sin^(-1) x +Cos^(-1) x-Tan^(-1)x then

    Text Solution

    |

  16. 2"Tan"^(-1)(1)/(5)+"Sec"^(-1)(5 sqrt(2))/(7)+"Tan"^(-1)(1)/(8)=

    Text Solution

    |

  17. If "Tan"^(-1)1/(1+2)+"Tan"^(-1)1/(1+(2)(3))+"Tan"^(-1)1/(1+(3)(4))+......

    Text Solution

    |

  18. If x=tan^(-1)(1)+cos^(-1)(-1//2)+sin^(-1)(-1//2) and y=cos[1//2 cos^(-...

    Text Solution

    |

  19. Assertion (A) : sin^(-1)(sin3)=3 Reason (R) : For principal values s...

    Text Solution

    |

  20. Assertion (A) : The value of "tan"^(-1)+"tan"^(-1)3=(3pi)/(4) Reaso...

    Text Solution

    |