Home
Class 12
MATHS
Let Delta(k) be the area of triangle AP...

Let `Delta_(k)` be the area of triangle `AP_(k)B` which is inscribed in a circle or radius 2 units. If AB diameter of circle , ` angle ABP_(k)=(lpi)/(2n) and sum_(k=1)^(n+1)=4 cot""(pi)/(32)`, then ` (n)/2` is equal to

Text Solution

Verified by Experts

The correct Answer is:
8
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • TRIGONOMETRIC EQUATIONS AND INEQUATIONS

    ARIHANT MATHS|Exercise Exercise (Statement I And Ii Type Questions)|6 Videos

  • TRIGONOMETRIC EQUATIONS AND INEQUATIONS

    ARIHANT MATHS|Exercise Exercise (Matching Type Questions)|2 Videos

  • TRIGONOMETRIC EQUATIONS AND INEQUATIONS

    ARIHANT MATHS|Exercise Exercise (Passage Based Questions)|13 Videos

  • THREE DIMENSIONAL COORDINATE SYSTEM

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|44 Videos

  • TRIGONOMETRIC FUNCTIONS AND IDENTITIES

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|19 Videos

Similar Questions

Explore conceptually related problems

If S(n)=sum_(k=1)^(n)(k)/(k^(4)+(1)/(4)), then (221S(10))/(10) is equal to:

Let a_(n)=sum_(k=1)^(n)(1)/(k(n+1-k)), then for n>=2

Knowledge Check

  • If sum_(k=1)^n ɸ(k)=2_n/(n+1),then sum_(k=1)^10 1/(ɸ(k)) is equal to

    A
    `11/20`
    B
    220
    C
    `55/18`
    D
    110

  • Let S_(n) = sum_(k=1)^(4n) (-1) (k(k-1))/(2), k^(2) . Then S_n can take values

    A
    `1056`
    B
    `1088`
    C
    `1120`
    D
    `1332`

    • Similar Questions

    Explore conceptually related problems

    If sum_(n=1)^(5)(1)/(n(n+1)(n+2)(n+3))=(k)/(3), then k is equal to :-

    lim_ (n rarr oo) sum_ (k = 1) ^ (n) (k) / (n ^ (2) + k ^ (2)) is equals to

    If S_(n)=sum_(k=1)^(4n)(-1)^((k(k+1))/2)k^(2) , then the values of S_(8) is equal to

    Given S_(n)=sum_(k=1)^(n)(k)/((2n-2k+1)(2n-k+1)) and T_(n)=sum_(k=1)^(n)(1)/(k) then (T_(n))/(S_(n)) is equal to

    If sum_(k=1)^(n)4(k-3)=An^(2)+Bn+C,n in N then |A+B-C| equals

    Let a(n)=sum_(k=1)^(n)tan^(-1)((2^(k))/(2+4^(k))) , then tan(a(oo)-a(2)) is equal to ________

    Home
    Profile