Home
Class 12
MATHS
For some natural number N, the number of...

For some natural number N, the number of positive integral 'x' satisfying the equation, `1! +2!+ 3!+.............(x!)=(N)^2` is

A

one

B

two

C

three

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • DEFINITE INTEGRATION & ITS APPLICATION

    RESONANCE|Exercise High Level Problem|37 Videos
  • EQUATIONS

    RESONANCE|Exercise EXERCISE-2 (PART-II: PREVIOUSLY ASKED QUESTION OF RMO) |7 Videos

Similar Questions

Explore conceptually related problems

For some natural N, the number of positive integral ‘x’ satisfying the equation, 1! + 2 ! + 3! + ...........+ (x!) = (N)^(2) is

The number of positive integral solutions of the equation x+2y+z=25 is

The number of positive integral solutions of the inequation (x+2)/(x+3)>1

The number of integral values of x satisfying the equation |x-|x-4||=4 is

The number of positive integral pairs (x, y) satisfying the equation x^(2) - y^(2) = 3370 is :

Number of postive integral solution of the equation |x-3|<|2x-1| is

The number of positive integral solutions of the equation x_(1)x_(2)x_(3)=60 is:

The number of integral values of x satisfying |x^2-1|leq3 is

RESONANCE-DPP-QUESTION
  1. The value of m , for which the coefficients of the (2m+1) th terms in ...

    Text Solution

    |

  2. STATEMENT - 1 : If n is even, .^(2n)C(1)+.^(2n)C(3)+.^(2n)C(5)+"….."+....

    Text Solution

    |

  3. For some natural number N, the number of positive integral 'x' satis...

    Text Solution

    |

  4. Find the sum of the last 30 coefficients in the expansion of (1+x)^(59...

    Text Solution

    |

  5. Coefficient of x^(48) in sum(r=0)^(50)""^(50)C(r).(x-2)^(x).3^(50-r) i...

    Text Solution

    |

  6. Solve the following equations : (i) |x-2| = sqrt(x-4) , (ii) (|x-2|)...

    Text Solution

    |

  7. |x^(2)-4x+4|ge 1

    Text Solution

    |

  8. Solve the following inequation (i) (3)/(x-2) lt 1 , (ii) (2x-1)/(x^(...

    Text Solution

    |

  9. If sum(i=1)^(7) i^(2)x(i) = 1 and sum(i=1)^(7)(i+1)^(2) x(i) = 12 and ...

    Text Solution

    |

  10. Circles with centres P,Q& S are touching each other externally as show...

    Text Solution

    |

  11. The value of (P-Q) is equal to

    Text Solution

    |

  12. The value of (P-R) is equal to

    Text Solution

    |

  13. The value of (Q+R) is equal to

    Text Solution

    |

  14. The sum sum(r=0)^(n) (r+1)C(r)^(2) is equal to :

    Text Solution

    |

  15. In the binomial expansion of (a-b)^nngeq5, the sum of the 5th and 6th ...

    Text Solution

    |

  16. Let P=sum(r=1)^50 (^(50+r)Cr(2r-1))/(^50Cr(50+r)),Q=sum(r=0)^50(^50Cr)...

    Text Solution

    |

  17. Let P = sum(r=1)^(50)(""^(50+r)C(r)(2r-1))/(""^(50)C(r)(50+r)), Q = su...

    Text Solution

    |

  18. Let P=sum(r=1)^50 (^(50+r)Cr(2r-1))/(^50Cr(50+r)),Q=sum(r=0)^50(^50Cr)...

    Text Solution

    |

  19. If sum(r=0)^(n) (-1)^(r ).""^(n)C(r)[(1)/(2^(r))+(3^(r))/(2^(2r))+(7^(...

    Text Solution

    |

  20. Find the degree of the polynomial 1/(sqrt(4x+1)){((1+sqrt(4x+1))/2)^7-...

    Text Solution

    |