Home
Class 12
MATHS
Find the number of positive integers x f...

Find the number of positive integers x for which
`f(x) = x^(3) - 8 x^(2) + 20x - 13`, is prime number.

Promotional Banner

Topper's Solved these Questions

  • MATRICES

    RESONANCE DPP ENGLISH|Exercise All Questions|7 Videos

  • THREE DIMENSIONAL GEOMETRY

    RESONANCE DPP ENGLISH|Exercise All Questions|5 Videos

Similar Questions

Explore conceptually related problems

Number of positive integers x for which f(x)=x^3-8x^2+20 x-13 is a prime number is______.

Number of positive integers x for which f(x)=x^3-8x^2+20 x-13 is a prime number is______.

Find the number of real roots of the equation f(x) =x^(3) + 2x^(2) +x +2 =0

Find the number of positive integers satisfying the inequality x^(2) -10x+16lt 0.

Find the number of positive integers satisfying the inequality x^(2) -10x+16lt 0.

Find the number of positive integers x satisfying the equation 1/x + 1/(x+1) + 1/(x+2) = 13/12 .

Find the number of non-negative intergral solutions of x_(1)+x_(2)+x_(3)+x_(4)=20 .

Number of positive integral solution of the equation |x^(2)-3x-3| gt |x^(2)+7x-13| is/are

Find number of roots of f(x) where f(x) = 1/(x+1)^3 -3x + sin x

Find the number of integral vaues of 'a' for which the range of function f (x) = (x ^(2) -ax +1)/(x ^(2) -3x+2) is (-oo,oo),

RESONANCE DPP ENGLISH-RELATIONS AND FUNCTIONS XII-All Questions
  1. If a+b+c=0a n da^2+b^2+c^2=1, then the value of a^4+b^4+c^4 is 1 b. 4 ...

    Text Solution

    |

  2. The value of x satisfying the equation (6x+2a+3b+c)/(6x+2a-3b-c)=(2x+6...

    Text Solution

    |

  3. Find the number of positive integers x for which f(x) = x^(3) - 8 x^...

    Text Solution

    |

  4. The least integral value of ' m ' for which the expression m x^2-4x+3m...

    Text Solution

    |

  5. Values of x satisfying the inequality |x^2+8x+7|geq|x^2+4x+4|+|4x+3| f...

    Text Solution

    |

  6. Let N=(log(3)135)/(log(15)3)-(log(3)5)/(log(405)3). Then N is

    Text Solution

    |

  7. f(x)=x/(x-1) then (f(a))/(f(a+1)) is equal to a.f(-a) b.f(1//a) c...

    Text Solution

    |

  8. Suppose f is a real function satisfying f(x+f(x))=4f(x)a n df(1)=4. Th...

    Text Solution

    |

  9. If f(x)=2/(4^x+2) for real numbers x , then f(1/(2011))+f(2/(2011))++f...

    Text Solution

    |

  10. A polynomial P(x) of third degree vanish when x=1 & x=-2 . This ...

    Text Solution

    |

  11. Solve the following inequalities (x-1)/x-(x+1)/(x-1)<2

    Text Solution

    |

  12. Solve inequality (x^2-5x+6)/(x^2+x+1)<0

    Text Solution

    |

  13. solve the given inequation (x^2+4x+4)/(2x^2-x-1)>0

    Text Solution

    |

  14. ((x-4)^(2005)dot(x+8)^(2008)(x+1))/(x^(2006)(x-2)^3dot(x+3)^5 0(x-6)(x...

    Text Solution

    |

  15. Solve the following inequalities ((x-1)(x-2)(x-3))/((x+1)(x+2)(x+3))>...

    Text Solution

    |

  16. The sum of the series ""(1^2)/(2!)+(2^2)/(3!)+(3^2)/(4!)+"i s" e+1 ...

    Text Solution

    |

  17. The function f(x)=(4-x^2)/(4x-x^3) (a) discontinuous at only one poin...

    Text Solution

    |

  18. If A is the set of even natural numbers less than 8 and B in the set p...

    Text Solution

    |

  19. If range of the function f(x)=(2sin^2x+2sinx+3)/(sin^2x+sinx+1) is [p ...

    Text Solution

    |

  20. In function f(x)=cos^(-1)x+cos^(-1)(x/2+(sqrt(3-3x^2))/2) , then Range...

    Text Solution

    |