Home
Class 12
MATHS
If sum(k=0)^5^5Cksink xcos(5-k)x=Nsin5x ...

If `sum_(k=0)^5^5C_ksink xcos(5-k)x=Nsin5x` where `N` is some natural number then the value of `N` is divisible by `2` b. `4` c. `8` d. `16`

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • INVERSE TRIGONOMETRIC FUNCTIONS

    RESONANCE DPP ENGLISH|Exercise All Questions|15 Videos

  • MATRICES

    RESONANCE DPP ENGLISH|Exercise All Questions|7 Videos

Similar Questions

Explore conceptually related problems

The expression (n^3 - n) , where n is any odd natural number is divisible by (A) 46 (B) 8 (C) 24 (D) 16

The sum of n natural numbers is 5n^2+4n . Find the 8th term.

If n is a natural number, then 9^(2n)-4^(2n) is always divisible by (a) 5 (b) 13 (c) both 5 and 13 (d) none of these

If int x^(6) sin ( 5x^(7)) dx = ( k )/( 5) cos ( 5x^(7))+C , then the value of k is

if (x-a)(x-5)+2=0 has only integral roots where a in I , then value of ' a ' can be: a. 8 b. 7 c. 6 d. 5

If 10^n+3xx4^(n+2)+lambda is divisible by 9 or all natural numbers, then the least positive integral value of lambda is a. 5 b. 3 c. 7 d. 1

Let (1+x^2)^2(1+x)^n=sum_(k=0)^(n+4)a_k x^k . If a_1 , a_2 and a_3 are in arithmetic progression, then the possible value/values of n is/are a. 5 b. 4 c. 3 d. 2

Let h(x) be differentiable for all x and let f(x)=(k x+e^x)h(x) , where k is some constant. If h(0)=5,h^(prime)(0)=-2,a n df^(prime)(0)=18 , then the value of k is 5 (b) 4 (c) 3 (d) 2.2.

If the mean of first n natural numbers is (5n)/9 , then n= (a) 5 (b) 4 (c) 9 (d) 10

RESONANCE DPP ENGLISH-JEE MAINS-All Questions
  1. In parabola y^2=4x, From the point (15,12), three normals are drawn th...

    Text Solution

    |

  2. about to only mathematics

    Text Solution

    |

  3. If sum(k=0)^5^5Cksink xcos(5-k)x=Nsin5x where N is some natural number...

    Text Solution

    |

  4. Let (6sqrt(6)+14)^(2n+1)=R, if f be the fractional part of R, then pro...

    Text Solution

    |

  5. The range of the function f(x) = sqrt(4 - x^(2)) + sqrt(x^(2) - 1) is ...

    Text Solution

    |

  6. If a > b > c >0 , prove that cot^(-1)((a b+1)/(a-b))+cot^(-1)((b c+1)...

    Text Solution

    |

  7. The number of different quadrilaterals that can be formed by using the...

    Text Solution

    |

  8. The number of points of intersection of diagonals which lie within the...

    Text Solution

    |

  9. If a,b,c are unequal numbers in A.P. such that a,b-c,c-a are in G.P. t...

    Text Solution

    |

  10. Solution of (dy)/(dx)(x^2y^3+x y)=1 is , e^(y^(2)/p)(1/x+y^r-q)=...

    Text Solution

    |

  11. int"x"^(-2//3)(1+"x"^(1//2))^(-5//3)dx=p(1+x^(1//2))^(r/s),w h e r er ...

    Text Solution

    |

  12. If f(x)={{:(px+sqrtq,x ge2),(x^(2)-5x+6,2 lt xlt3),((ax)^(2)+bx+1, x g...

    Text Solution

    |

  13. The maximum possible integral value of (beta-alpha)/(tan^(-1)beta - ta...

    Text Solution

    |

  14. If z lies on the curve a r g(z+1)=pi/4 , then the minimum value of |z-...

    Text Solution

    |

  15. If f(x)=x^3(sgn [x] + {x}):0le xlt2, cosx+|x-2| ; 2 le x le pi Where [...

    Text Solution

    |

  16. Find the standard deviation for the following data: (i) x : , 3, 8, 13...

    Text Solution

    |

  17. Iif f(x) =[2x] sin 3 pi x then prove that f'(x) = 6 k pi (-1)^(k), (...

    Text Solution

    |

  18. If C1: x^2+y^2=(3+2sqrt(2))^2 is a circle and P A and P B are a pair o...

    Text Solution

    |

  19. If A is a square matrix of order 3 such that |A|=2 , then write the va...

    Text Solution

    |

  20. The graph of y = f(x) is shown, find the number of solution of f(f(x))...

    Text Solution

    |