Home
Class 12
MATHS
Find the number of positive integers n s...

Find the number of positive integers `n` such that 105 is a divisor of `n^2+n+1.`

Promotional Banner

Topper's Solved these Questions

  • INVERSE TRIGONOMETRIC FUNCTIONS

    RESONANCE DPP|Exercise All Questions|15 Videos
  • MATRICES

    RESONANCE DPP|Exercise All Questions|7 Videos

Similar Questions

Explore conceptually related problems

Find the number of positive integers n.such that sqrt(n)+sqrt(n+1)<11

Let n=180. Find the number of positive integral divisors of n^(2), which do not divide n

If phi(n) denotes the number of positive integers less than n and relatively prime to n and A={n| phi(n)=17}, then find the number of elements in set A.

Find the least positive integer n such that ((2i)/(1+i))^(n) is a positive integer.

Find number of integers n such that n^(4)-n^(2)+64 is the square of an integer.

Find the total number of integer n such that 2<=n<=2000 and H.C.F.of n and 36 is 1.

If n is an odd positive integer,show that (n^(2)-1) is divisible by 8.

RESONANCE DPP-JEE MAINS-All Questions
  1. If (1+x^2)(dy)/(dx)=x(1-y),y(0)=4/3, then the value of y(8)+8/9 is

    Text Solution

    |

  2. The tangent at a point P(acosvarphi,bsinvarphi) of the ellipse (x^2)/(...

    Text Solution

    |

  3. Find the number of positive integers n such that 105 is a divisor of n...

    Text Solution

    |

  4. Number of five digit integers, with sum of the digits equal to 43 are ...

    Text Solution

    |

  5. Show that the area of triangle inscribed in an ellipse bears a constan...

    Text Solution

    |

  6. The equation of a tangent parallel to y=x drawn to (x^2)/3 - (y^2)/2=1...

    Text Solution

    |

  7. Die A has 4 red and 2 white faces, whereas die B has 2 red and 4 wh...

    Text Solution

    |

  8. Let y=f(x) be a parabola, having its axis parallel to the y-axis, whi...

    Text Solution

    |

  9. Let P1 denote the equation of a plane to which the vector ( hat i+ ...

    Text Solution

    |

  10. Find the equation of tangents to the curve 4x^2-9y^2=1 which are paral...

    Text Solution

    |

  11. If two different tangents of y^2=4x are the normals to x^2=4b y , then...

    Text Solution

    |

  12. If y=sqrt(logx+sqrt(logx+sqrt(logx+oo))),t h e n(dy)/(dx)i s x/(2y-1)...

    Text Solution

    |

  13. The point of intersection of the curve whose parametrix equations are ...

    Text Solution

    |

  14. The eccentricity of the conic represented by x^2-y^2 - 4x + 4y=16

    Text Solution

    |

  15. Die A has 4 red and 2 white faces, whereas die B has 2 red and 4 wh...

    Text Solution

    |

  16. Find the eccentricity of the conic 4(2y-x-3)^2-9(2x+y-1)^2=80

    Text Solution

    |

  17. The foci of the hyperbola 3(y-1)^2-4(x-2)^2=12 are (0,sqrt(7)) b. (-2,...

    Text Solution

    |

  18. Equation of the locus of all points such that the difference of its di...

    Text Solution

    |

  19. If A-=(p,q,r) and B-=(p^('),q^('),r^(')) are two points on the line la...

    Text Solution

    |

  20. If one of the lines given by the equation 2x^2+p x y+3y^2=0 coincide ...

    Text Solution

    |