Home
Class 12
MATHS
For x in R the expression (x ^(2) +2x +c...

For `x in R` the expression `(x ^(2) +2x +c)/(x ^(2)+ 4x + 3x )` can take all real value if `c in ` :

A

`(1,2)`

B

`[0,1]`

C

`(0,1)`

D

`(-1,0)`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • QUADRATIC EQUATIONS

    VK JAISWAL ENGLISH|Exercise EXERCISE (ONE OR MORE THAN ONE ANSWER IS/ARE CORRECT)|42 Videos

  • QUADRATIC EQUATIONS

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

If x in R then (x^(2)+2x+a)/(x^(2)+4x+3a) can take all real values if

Find the interval in which .'m' lies so that the expression (mx^(2) + 3x-4)/(-4x^(2)+3 x + m) can take all real values, x in R .

If x is real and the expression (x^(2) + 2x - 11)/( x - 3) takes all values which do not lie between a and b, then find a and b

If x is real, show that the expression (4x^2+36 x+9)/(12 x^2+8x+1) can have any real value .

If x is real and (x^2+2x+c)//(x^2+4x+3c) can take all real values, of then show that 0lt=clt=1.

If x is real, the expression (x+2)/(2x^2 + 3x+6) takes all value in the interval

If the expression x^(2)-(m+2)x+4 is always positive for all real values of x, then find range of m

If (x - p)/(x^(2) - 3x + 2) takes all real values for x in R then the range of P is

If both expression x^2 - 3x + 2 and x^2 - 4x + 3 equal 0. then what is the value of (x - 3)^2 ?

Find the values of a for which the expression (ax^2+3x-4)/(3x-4x^2+a) assumes all real values for all real values of x

VK JAISWAL ENGLISH-QUADRATIC EQUATIONS -EXERCISE (SUBJECTIVE TYPE PROBLEMS)
  1. For x in R the expression (x ^(2) +2x +c)/(x ^(2)+ 4x + 3x ) can take ...

    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-b) (x...

    Text Solution

    |

  4. Consider the equation (x^2 + x + 1)^2-(m-3)(x^2 + x + 1) +m=0--(1), w...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  7. The least rositive integral value of 'x' satisfying (e ^(x) -2) (sin (...

    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, de...

    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 pi is a whole number ) for which ...

    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 roots of the equation x^(2)-8kx...

    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 sum of all real values of k for which the expression x ^(2)+2xy +k...

    Text Solution

    |

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

    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)=0 be a polynomial equation of the least possible degree, with...

    Text Solution

    |

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

    Text Solution

    |