Home
Class 12
MATHS
The number of integral values which can ...

The number of integral values which can be taken by the expression, `f (x) = (x ^(3)-1)/((x-1) (x ^(2) -x+1))` for `x in R,` is:

A

1

B

2

C

3

D

infinite

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • QUADRATIC EQUATIONS

    VK JAISWAL|Exercise EXERCISE (ONE OR MORE THAN ONE ANSWER IS/ARE CORRECT)|44 Videos

  • QUADRATIC EQUATIONS

    VK JAISWAL|Exercise EXERCISE (COMPREHENSION TYPE PROBLEMS)|23 Videos

  • PROBABILITY

    VK JAISWAL|Exercise Exercise -5 : Subjective Type problems|12 Videos

  • SEQUENCE AND SERIES

    VK JAISWAL|Exercise EXERCISE (SUBJECTIVE TYPE PROBLEMS)|21 Videos

Similar Questions

Explore conceptually related problems

Number of integral values in the range of the function f(x)=cot^(-1)x+(1)/(2)cos^(-1)x is

The number of integral values in the range of the function f(x)=sin^(-1)x-cot^(-1)x+x^(2)+2x +6 is

The number of integral values of m for which f : R to R ,f (x) = (x ^(2))/(3) + (m -1) x ^(2) + (m +5) x+n is bijective is :

The number of integral values of m for which the quadratic expression (1 + 2m)x^(2) - 2(1 + 3m)x + 4(1 + m), x in R , is always positive is

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

The number of integral values in the range of f(x)=sin^(-1)((x^(2))/(x^(2)+1)) is

Number of integral values of x, satisfying function f(x) = log(x-1) + log(3-x)

The total number of integral value of x satisfying the equation x ^(log_(3)x ^(2))-10=1 //x ^(2) is

The number of integral values of x satisfying 5x-1<(x+1)^(2)<7x-3 is

Number of integral values of X' satisfying the equation 3^(|x+1)-2.3^(x)=2*|3^(x)-1|+1 are

VK JAISWAL-QUADRATIC EQUATIONS -EXERCISE (SUBJECTIVE TYPE PROBLEMS)
  1. The number of integral values which can be taken by the expression, f ...

    Text Solution

    |

  2. Let f(x) = ax^2 + bx + c where a,b,c are integers. If sin\ pi/7 * sin\...

    Text Solution

    |

  3. Let a, b, c, d be distinct integers such that the equation (x - a) (x ...

    Text Solution

    |

  4. Consider the equation (x^2 + x + 1)^2-(m-3)(x^2 + x + 1) +m=(1), wher...

    Text Solution

    |

  5. The number of positive integral values of m, m le 16 for which the equ...

    Text Solution

    |

  6. If the equatio (m^(2) -12 )x^(4) -8x ^(2)-4=0 has no real roots, then ...

    Text Solution

    |

  7. The least positive integral value of 'x' satisfying (e^x-2)(sin(x+pi/...

    Text Solution

    |

  8. The integral values of x for which x^2 +17x+71 is perfect square of a ...

    Text Solution

    |

  9. Let p(x) =x^6-x^5-x^3-x^2-x and alpha, beta, gamma, delta are the root...

    Text Solution

    |

  10. The number of real values of 'a' for which the largest value of the fu...

    Text Solution

    |

  11. The number of all values of n, (whre n is a whole number ) for which t...

    Text Solution

    |

  12. The number of negative intergral values of m for which the expression ...

    Text Solution

    |

  13. If the expression ax ^(4)+bx^(3)-x ^(2)+2x+3 has the remainder 4x +3 w...

    Text Solution

    |

  14. The smallest value of k for which both the roots of the equation x^2-8...

    Text Solution

    |

  15. If x ^(2) -3x+2 is a factor of x ^(4) -px ^(2) +q=0, then p+q=

    Text Solution

    |

  16. The expression x^2 + 2xy + ky^2 + 2x + k = 0 can be resolved into two ...

    Text Solution

    |

  17. The curvey y = (a +1) x ^(2) + 2 meets the curve y = ax +3, a ne -1 in...

    Text Solution

    |

  18. Find the number of integral vaues of 'a' for which the range of functi...

    Text Solution

    |

  19. When x ^(100) is divided by x ^(2) -3x +2, the remainder is (2 ^(k +1)...

    Text Solution

    |

  20. Let p (x) be a polynomial equation of least possible degree, with rati...

    Text Solution

    |

  21. The range of values k for which the equation 2 cos ^(4)x-sin ^(4)x +k=...

    Text Solution

    |