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

  • 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

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-JEE MAINS-All Questions
  1. Makes the following expressions free from modulus sign: (x in RR) |x^...

    Text Solution

    |

  2. A ray of light comes light comes along the line L = 0 and strikes the ...

    Text Solution

    |

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

    Text Solution

    |

  4. Make the following expressions free from modulus sign : (x in R) ...

    Text Solution

    |

  5. Let P(x)=x^4+a x^3+b x^2+c x+d be a polynomial such that P(1)=1,P(2)=8...

    Text Solution

    |

  6. Two dice are thrown simultaneously, the probability of obtaining to...

    Text Solution

    |

  7. The solution set of the inequation 3^(72)(1/3)^x(1/3)^(sqrt(x))>1 is [...

    Text Solution

    |

  8. A forecast forr Indian team is to be made of the results of five crick...

    Text Solution

    |

  9. IF (log)6{(log)2[sqrt(4x+2)]+2sqrt(x)}=0, then x= .

    Text Solution

    |

  10. If P(A )=0. 3 ,P( A nn B )=0. 2 and P(A // B)=0. 4 then P(AuuB)= (A) ...

    Text Solution

    |

  11. Which of the following is greater? sqrt(13)-sqrt(12),sqrt(14)-sqrt(13)

    Text Solution

    |

  12. If a cricket team of 11 players is to be selected from 8 batsman, 6 bo...

    Text Solution

    |

  13. Which of the following is greater ? 7/8.(6)/7

    Text Solution

    |

  14. A multiple choice question has n options, of whlch only one is correct...

    Text Solution

    |

  15. Simplify: x/(x-y)-y/(x+y)-(2x y)/(x^2-y^2)

    Text Solution

    |

  16. The number of non - negative integral solutions of the equation x+y+3z...

    Text Solution

    |

  17. A multiple choice question has n options, of whlch only one is correct...

    Text Solution

    |

  18. Two non-negative integers are chosen at random, then the probability ...

    Text Solution

    |

  19. Find tha value of the expression 2/log4(2000)^6+3/log5(2000)^6

    Text Solution

    |

  20. If p is a constant and f(x) =|(x^2,x^3,x^4),(2,3,6),(p,p^2,p^3)| if ...

    Text Solution

    |