Home
Class 12
MATHS
The least integral value of 'k' If (k-1)...

The least integral value of 'k' If `(k-1) x ^(2) -(k+1) x+ (k+1)` is positive for all real value of x is:

A

1

B

2

C

3

D

4

Text Solution

Verified by Experts

The correct Answer is:
B
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

For what least integral 'k' is the quadratic trinomial (k-2) x ^(2) + 8x + (k +4) is positive for all ral values of x ?

The number of integral values of K' the inequality |(x^2+kx+1)/(x^2+x+1)|<3 is satisfied for all real values of x is....

The least integral value of 'k' for which (k -2)x^2 +8x+k+4>0 for all xepsilonR , is:

Find the value of k, if (k)/(x^(2)-4) = (1)/(x-2)-(1)/(x+2)

Find the number of positive integral values of k for which kx ^(2) +(k-3)x+1 lt 0 for atleast one positive x.

Find the least integral value of 'k' for which the quadratic polynomial (k-1)x^(2) + 8x + k + 5 gt 0 AA x in R

The sum of all possible integral value of 'k' for which 5x ^(2) -2k x +1lt 0 has exactly one integral solution :

Find the least integral value of k for which the equation x^(2)-2(k+2)x+12+k^(2)=0 has two different real roots.

The value of integral sum _(k=1)^(n) int _(0)^(1) f(k - 1+x) dx is

If 3x^(2)+4kx+1 gt 0 for all real values of x, then k lies in the interval

VK JAISWAL ENGLISH-QUADRATIC EQUATIONS -EXERCISE (SUBJECTIVE TYPE PROBLEMS)
  1. The least integral value of 'k' If (k-1) x ^(2) -(k+1) x+ (k+1) is pos...

    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

    |