Home
Class 12
MATHS
Find the number of integral vaues of 'a'...

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

Text Solution

Verified by Experts

The correct Answer is:
0
Promotional Banner

Topper's Solved these Questions

  • QUADRATIC EQUATIONS

    VK JAISWAL ENGLISH|Exercise EXERCISE (MATCHING TYPE PROBLEMS)|3 Videos

  • PROBABILITY

    VK JAISWAL ENGLISH|Exercise Exercise -5 : Subjective Type problems|11 Videos

  • SEQUENCE AND SERIES

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

Similar Questions

Explore conceptually related problems

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),

Find the domain and range function f(x) =(x^(2)-3x+2)/(x^(2)-4x+3) .

The function f(x) = "max"{(1-x), (1+x), 2}, x in (-oo, oo) is

If the complete set of value(s) of a for which the function f (x) =(ax^(3))/(3)+(a+2) x^(2) +(a-1) x+2 possess a negative point of inflection is (-oo, alpha)uu(beta,oo)" then " |alpha|+|beta| is ___________ .

The range of the function f(x)=|x-1| is A. (-oo,0) B. [0,oo) C. (0,oo) D. R

Find the inverse of each of the following functions : f(x) = {{:(x"," -oo lt x lt 1),(x^(2)"," 1 le x le 4),(2x"," 4 lt x lt oo):}

If f(x)=x^2+x+3/4 and g(x)=x^2+a x+1 be two real functions, then the range of a for which g(f(x))=0 has no real solution is (A) (-oo,-2) (B) (-2,2) (C) (-2,oo) (D) (2,oo)

Find the range of f(x)=sec(pi/4cos^2x), where -oo < x < oo

The function f : (0, oo) rarr [0, oo), f(x) = (x)/(1+x) is

y= f(x) is a polynomial function passing through point (0, 1) and which increases in the intervals (1, 2) and (3, oo) and decreases in the intervals (-oo,1) and (2, 3). If f(1)= -8, then the range of f(x) is (a) [3,oo) (b) [-8,oo) (c) [-7,oo) (d) (-oo,6]

VK JAISWAL ENGLISH-QUADRATIC EQUATIONS -EXERCISE (SUBJECTIVE TYPE PROBLEMS)
  1. The sum of all real values of k for which the expression x ^(2)+2xy +k...

    Text Solution

    |

  2. The curve y=(lambda=1)x^2+2 intersects the curve y=lambdax+3 in exactl...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  5. Let p(x)=0 be a polynomial equation of the least possible degree, with...

    Text Solution

    |

  6. The range of value's of k for which the equation 2 cos^(4) x - sin^(4...

    Text Solution

    |

  7. Let p (x) be a polynomial with real coefficient and p (x)-p'(x) =x^(2)...

    Text Solution

    |

  8. Find the smallest positive integral value of a for which the greater r...

    Text Solution

    |

  9. If the equation x ^(4)+kx ^(2) +k=0 has exactly two distinct real root...

    Text Solution

    |

  10. Let a,b,c, d be the roots of x ^(4) -x ^(3)-x ^(2) -1=0. Also consider...

    Text Solution

    |

  11. The number of integral value of a,a, in [-5, 5] for which the equation...

    Text Solution

    |

  12. The number of non-negative integral vlaues of n, n le 10 so that a roo...

    Text Solution

    |

  13. If and y ar real numbers connected by the equation 9x ^(2)+2xy+y^(2) -...

    Text Solution

    |

  14. Consider two numbers a,b, sum of which is 3 and the sum of their cubes...

    Text Solution

    |

  15. If y ^(2)(y^(2) -6) + x ^(2) -8x +24 =0 and the minimum value of x ^(...

    Text Solution

    |

  16. Consider the equation x ^(3) -ax ^(2) +bx-c=0, where a,b,c are ration...

    Text Solution

    |

  17. Let alpha satisfy the equation x ^(3) +3x ^(2) +4x+5=0 and beta satisf...

    Text Solution

    |

  18. The number of ordered pairs (a,b) where a,b are integers satisfying th...

    Text Solution

    |

  19. The real value of x satisfying ""^(3)sqrt(20x +^(3)sqrt(20x+13))=13 c...

    Text Solution

    |

  20. If the range of the values of a for which the roots of the equation x ...

    Text Solution

    |