Home
Class 12
MATHS
The value of cot sum(n=1)^(19)(cot^(-1)(...

The value of `cot sum_(n=1)^(19)(cot^(-1)(1+sum_(p=1)^(n)2p))` is equal to (a) `(21)/(19)` (b) `(19)/(21)` (c) `-(19)/(21)` (d) `-(21)/(19)`

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • JEE MAIN

    JEE MAINS PREVIOUS YEAR ENGLISH|Exercise MATH|21 Videos
  • LIMITS AND DERIVATIVES

    JEE MAINS PREVIOUS YEAR ENGLISH|Exercise All Questions|5 Videos

Similar Questions

Explore conceptually related problems

The value of cotsum_(n=1)^(19)cot^(-1)(1+sum_(p=1)^(n)2p) is equal to (a) (21)/(19) (b) (19)/(21) (c) -(19)/(21) (d) -(21)/(19)

The value of cot(sum_(n=1)^23 cot^-1(1+sum_(k=1)^n 2k)) is (a) 23/25 (b) 25/23 (c) 23/24 (d) 25/26

5/8+3/4-7/(12) is equal to: (a) (15)/(24) (b) (17)/(24) (c) (19)/(24) (d) (21)/(24)

The value of sum_(r=1)^n(sum_(p=0)^(r-1) ^nC_r ^rC_p 2^p) is equal to (a) 4^(n)-3^(n)+1 (b) 4^(n)-3^(n)-1 (c) 4^(n)-3^(n)+2 (d) 4^(n)-3^(n)

("lim")_(x->oo)sum_(x=1)^(20)cos^(2n)(x-10) is equal to (a) 0 (b) 1 (c) 19 (d) 20

The value of sum_(r=0)^(10)(r)^(20)C_r is equal to: a. 20(2^(18)+^(19)C_(10)) b. 10(2^(18)+^(19)C_(10)) c. 20(2^(18)+^(19)C_(11)) d. 10(2^(18)+^(19)C_(11))

The value of tan(cos^(-1)(3/5)+tan^(-1)(1/4)) is (a) (19)/8 (b) 8/(19) (c) (19)/(12) (d) 3/4

prove that sum_(k=0)^10 20^C_k=2^(19)

{(1/3)^(-3)-(1/2)^(-3)}-:(1/4)^(-3) = (a) (19)/(64) (b) (64)/(19) (c) (27)/(16) (d) (-19)/(64)

The sum sum _ ( k = 1 ) ^ ( 20 ) k ( 1 ) / ( 2 ^ k ) is equal to l - (11) /(m ^ ( 19 )) . The value of ( l + m ) is ______ .

JEE MAINS PREVIOUS YEAR ENGLISH-JEE MAINS-All Questions
  1. If the probability of hitting a target by a shooter, in any shot is 1/...

    Text Solution

    |

  2. If two vertices of a triangle are (0,2) and (4,3) and its orthocentre ...

    Text Solution

    |

  3. The value of cot sum(n=1)^(19)(cot^(-1)(1+sum(p=1)^(n)2p)) is equal to...

    Text Solution

    |

  4. The value of lambda for which the sum of squares of roots of the equat...

    Text Solution

    |

  5. A plane bisects the line segment joining (-3,-3,4) and (3,7,6) and als...

    Text Solution

    |

  6. The number of possible value of theta lies in (0,pi), such that system...

    Text Solution

    |

  7. If int(0)^(x)f(t)dt=x^2+int(x)^(1)\ t^2\ f(t)dt, then f((1)/(2)) is eq...

    Text Solution

    |

  8. Which of the following line is passing through point of intersection o...

    Text Solution

    |

  9. If a1,a2,...,a(10) are in G.P, where aigt0 and S is a set of ordered p...

    Text Solution

    |

  10. Given three statements P: 5 is a prime number, Q : 7 is a factor of 19...

    Text Solution

    |

  11. the value of cos((pi)/(2^2))cos((pi)/(2^3))cos((pi)/(2^4)) .....cos((...

    Text Solution

    |

  12. If coefficient of x^2 is expansion of x^2(sqrtx+(lamda)/(x^2))^(10) is...

    Text Solution

    |

  13. If f:NrarrN is given by f(x)={((x+1)/(2), if x " is odd"),((x)/(2),if ...

    Text Solution

    |

  14. Area bounded between the curves x^2=4y and x=4y-2 (in square units) is...

    Text Solution

    |

  15. If int sqrt(1-x^2)/x^4dx=A(x).(sqrt(1-x^2))^m where A(x) is a function...

    Text Solution

    |

  16. The value of int(-2)^2 (sin^2x)/([x/pi]+1/2) dx is where [*] =G.I.F ...

    Text Solution

    |

  17. Evaluate lim(x-gt0) (tan(pisin^2 x)+(|x|-sin(x[x]))^2)/x^2 , where [*...

    Text Solution

    |

  18. Let f(x)={(-1, -2lexlt0),(x^2-1,0lexlt2):} if g(x)=|f(x)|+f(|x|) then ...

    Text Solution

    |

  19. Out of 30 observation 10 are 1/2+d, 10 are 1/2 and other 10 are 1/2-d ...

    Text Solution

    |

  20. The equation of common tangent to the curves y^2 =4x and xy=2 is ...

    Text Solution

    |