Home
Class 12
MATHS
Let fk=(1+2+3+?+k)/k Also is f1^2+f2^2+f...

Let `f_k=(1+2+3+?+k)/k` Also is `f_1^2+f_2^2+f_3^2+?f_10^2=5/12N`, then the value of `N` will be (A) `283` (B) `303` (C) `505` (D) `50`

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

Let f(n)= sum_(k=1)^(n) k^2 ^"(n )C_k)^ 2 then the value of f(5) equals

Let f(x)=x+2|x+1|+2|x-1|dot If f(x)=k has exactly one real solution, then the value of k is (a) 3 (b) 0 (c) 1 (d) 2

If f(x)= x^(3)-kx^(2)+2x and f(-x)= -f(x), the value of k is_

Let f(x) =(kcosx)/(pi-2x) if x!=pi/2 and f(x)=3 if x=pi/2 then find the value of k if lim_(x->pi/2) f(x)=f(pi/2)

If f is continuous on [0,1] such that f(x)+f(x+1/2)=1 and int_0^1f(x)dx=k , then value of 2k is 0 (2) 1 (3) 2 (4) 3

Let f(x) be continuous functions f: RvecR satisfying f(0)=1a n df(2x)-f(x)=xdot Then the value of f(3) is 2 b. 3 c. 4 d. 5

Let f(x) be continuous functions f: RvecR satisfying f(0)=1a n df(2x)-f(x)=xdot Then the value of f(3) is 2 b. 3 c. 4 d. 5

"Let "f(x)=x + (1)/(2x + (1)/(2x + (1)/(2x + .....oo))). Then the value of f(50)cdot f'(50) is -

Let d/(dx) (F(x))= e^(sinx)/x, x>0 . If int_1^4 2e^sin(x^2)/x dx = F(k)-F(1) , then possible value of k is:

Let f(x)=x+2|x+1|+x-1|dotIff(x)=k has exactly one real solution, then the value of k is 3 (b) 0 (c) 1 (d) 2

JEE MAINS PREVIOUS YEAR ENGLISH-JEE MAINS-All Questions
  1. Let (z-alpha)/(z+alpha) is purely imaginary and |z|=2, alpha in RR the...

    Text Solution

    |

  2. If ratio of the roots of the quadratic equation 3m^2x^2+m(m-4)x+2=0 is...

    Text Solution

    |

  3. Let fk=(1+2+3+?+k)/k Also is f1^2+f2^2+f3^2+?f10^2=5/12N, then the val...

    Text Solution

    |

  4. Let a parabola be y=12-x^2. Find the maximum area of rectangle whose b...

    Text Solution

    |

  5. A line is perpendicular to the line 2x-3y+5=0 and passes through the p...

    Text Solution

    |

  6. Let vecaxx(vecbxxvecc)=vecb/2 and vecb, vecc are non parallel unit vec...

    Text Solution

    |

  7. The statement ~(~prarrq) is equivalent to (A) pvv~q ...

    Text Solution

    |

  8. There are m men and two women participating in a chess tournament. Eac...

    Text Solution

    |

  9. If (3/4)^3+(1 1/2)^3 +(2 1/4)^3 +? upto 15 terms =225k, then k is equa...

    Text Solution

    |

  10. Mean and variance of five observations are 4 and 5.2 respectively. If ...

    Text Solution

    |

  11. lim(xrarr1^(-)) (sqrtpi-sqrt(2sin^-1x))/sqrt(1-x)= (A) sqrt(2...

    Text Solution

    |

  12. If z1 and z2 lies on |z|=9 and |z-3-4i|=4 respectively, find minimum p...

    Text Solution

    |

  13. If .^nC4, ^nC5 and .^nC6 are in A.P. then n is equal to (A) ...

    Text Solution

    |

  14. If angle between the line (x-2)/1=(y-3)/2=(z+5)/(-2) and 2x-y-kz=lambd...

    Text Solution

    |

  15. A dice is thrown repeatedly. If 5 or 6 appears, person wins Rs. 100 ot...

    Text Solution

    |

  16. lim(ntoinfty) (n/(n^2+1^2)+n/(n^2+2^2)+n/(n^2+3^2)+...+n/5n^2) is equa...

    Text Solution

    |

  17. A line passes through (-3,4) and the portion of the line intercepted b...

    Text Solution

    |

  18. There are 60 students in a class, out of which 40 opt for NCC, 30 opt ...

    Text Solution

    |

  19. If the tangent drawn to parabola y=x^2-5x+5 at a point is parallel to ...

    Text Solution

    |

  20. Let f(x)=x^3-3(a-2)x^2+3ax+7 and f(x) is increasing in (0,1] and decre...

    Text Solution

    |