Home
Class 12
MATHS
The range of k for which the inequality ...

The range of k for which the inequality `kcos^2x-kcosx+1>=0AAxepsilon(-oo,oo)` is:

A

`k gt 1/2`

B

`k gt 4`

C

`1/2 le k le 4`

D

`1/2 le k le 5`

Text Solution

Verified by Experts

The correct Answer is:
C
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

The range of a for which the equation x^(2)+ax-4=0 has its smaller root in the interval (-1,2)is(-oo,-3) b.(0,3) c.(0,oo) d.(-oo,-3)uu(0,oo)

The values of a for which the integral int_(0)^(2)|x-a|dx>=1 is satisfied are (a) (2,oo) (b) (-oo,0)(c)(0,2)(d) none of these

The range of values of alpha for which the line 2y=gx+alpha is a normal to the circle x^(2)=y^(2)+2gx+2gy-2=0 for all values of g is (a)[1,oo)(b)[-1,oo)(c)(0,1)(d)(-oo,1]

If f(x)=x^(2)+x+(3)/(4) and g(x)=x^(2)+ax+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)

The solution set of the inequality max {1-x^(2),|x-1|}<1 is (-oo,0)uu(1,oo) (b) (-oo,0)uu(2,oo)(0,2)(d)(0,2)

Q.The set of all the solutions of the inequality log_(1-x)(x-2)>=-1 is (A)(-oo,0)(B)(2,oo)(C)(-oo,1)

The number of points in (-oo,oo) for which x^(2)-xsinx-cosx=0, is

The set of all possible real values of a such that the inequality (x-(a-1))(x-(a^(2)-1))<0 holds for all x in(-1,3) is (0,1) b.(oo,-1] c.(-oo,-1) d.(1,oo)

The exhaustive set of values of a for which inequation -(a+1)x+a-1>=0 is true (a-1)x^(2)-(a+1)x+a-1>=0 is true AA x>2(a)(-oo,1)(b)[(7)/(3),oo)(c)[(3)/(7),oo)

The solution of the inequality (tan^(-1)x)^(2)-3tan^(-1)x+2>=0 is- a.(-oo,tan1]uu[tan2,oo)b*(-oo,tan1] c.(-oo,-tan1]uu[tan2,oo)d.[-1,1]-(-(sqrt(2))/(2),(sqrt(2))/(2))

VK JAISWAL-QUADRATIC EQUATIONS -EXERCISE (SUBJECTIVE TYPE PROBLEMS)
  1. The range of k for which the inequality kcos^2x-kcosx+1>=0AAxepsilon(-...

    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

    |