Home
Class 11
MATHS
The least integral value of k for which ...

The least integral value of k for which `(k-2)x^(2)+8x+k+4 gt Sin^(-1)(sin12)+Cos^(-1)(cos12)` for all `x in R`, is

A

-7

B

-5

C

-3

D

5

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • INVERSE TRIGNOMETRIC FUNCTIONS

    AAKASH SERIES|Exercise LECTURE SHEET (EXERCISE - III) (MORE THAN ONE CORRECT ANSWER TYPE QUESTIONS)|5 Videos

  • INVERSE TRIGNOMETRIC FUNCTIONS

    AAKASH SERIES|Exercise LECTURE SHEET (EXERCISE - III) (MATRIX MATCHING TYPE QUESTIONS)|1 Videos

  • INVERSE TRIGNOMETRIC FUNCTIONS

    AAKASH SERIES|Exercise LECTURE SHEET (EXERCISE - II) (INTEGER TYPE QUESTIONS)|2 Videos

  • HYPERBOLIC FUNCTIONS

    AAKASH SERIES|Exercise PRACTICE SHEET EXERCISE-II (STRAIGHT OBJECTIVE TYPE QUESTIONS)|18 Videos

  • INVERSE TRIGONOMETRIC FUNCTIONS

    AAKASH SERIES|Exercise PRACTICE EXERCISE|37 Videos

Similar Questions

Explore conceptually related problems

The least value of k for which (k-2)x^(2)+8x+k+4gtsin^(-1)(sin12)+cos^(-1)(cos12) for all x in R is

The value of Sin^(-1)(sin12)+Cos^(-1)(cos12)=

The set of values of lambda for which x^(2)-lambdax+sin^(-1)(sin4) gt 0" for all "x in R , is

Cos^(-1)(cos12) -Sin^(-1) (sin12)=

The number of integral values of k for which the equation sin^(-1)x+tan^(-1)x=2k+1 has a solution is

The number of integral values of k for which the equation sin^(-1)x+tan^(-1)x=2k+1 has a solution is

The least value of sin 2x-sqrt(3) cos 2x is

The least positive value of x satisfying (sin^(2) 2 x + 4 sin^(4) x - 4 sin^(2) x cos ^(2) x)/(4 - sin ^(2) 2 x - 4 sin^(2) x)= (1)/(9) is

AAKASH SERIES-INVERSE TRIGNOMETRIC FUNCTIONS-LECTURE SHEET (EXERCISE - III) (STRAIGHT OBJECTIVE TYPE QUESTIONS)
  1. Find the values of cos(2cos^(-1)x+sin^(-1)x) at x = 1/5, where 0 le co...

    Text Solution

    |

  2. The value of x for which sin[cot^(-1)(1+x)]=cos(tan^(-1)x) is :

    Text Solution

    |

  3. The solutio set of the equation sin^(-1)sqrt(1-x^(2))+cos^(-1)x="cot"^...

    Text Solution

    |

  4. The sum of the solutions of the equation 2sin^(-1)sqrt(x^(2)+x+1)+cos^...

    Text Solution

    |

  5. The number of real solutions of Tan^(-1)(sqrt(x(x+1))+sin^(-1)sqrt(x^(...

    Text Solution

    |

  6. If tan^(-1)(sin^(2)theta-2sintheta+3)+cot^(-1)(5^(sec^(2)beta)+1)=pi/2...

    Text Solution

    |

  7. The number of integral values of k for which the equation sin^(-1)x+ta...

    Text Solution

    |

  8. The number of solutions for the equation cos^(-1)(1-x)+mcos^(-1)x=(npi...

    Text Solution

    |

  9. The number of solutions of the equation 3Cos^(-1)x-pix-pi/2=0

    Text Solution

    |

  10. The number of real solutions of abs(y)=sinx, y=cos^(-1)(cosx), -2pi le...

    Text Solution

    |

  11. Number of real solutions of the equation sqrt(1+cos2x)=sqrt(2)Sin^(-1)...

    Text Solution

    |

  12. The solution of the inequality log(1//2)sin^(-1)x gt log(1//2)cos^(-1)...

    Text Solution

    |

  13. If cot^(-1)""n/pi gt pi/6, n in N, then the maximum value of n is

    Text Solution

    |

  14. If (cot^(-1)x)^(2)-7(cot^(-1)x)+10 gt 0, then x lies in the interval

    Text Solution

    |

  15. If [Cot^(-1)x]+[Cos^(-1)x]=0 where x is non-negative real number and [...

    Text Solution

    |

  16. The complete solution set of [tan^(-1)x]^(2)-8[tan^(-1)x]+16 le 0, whe...

    Text Solution

    |

  17. The value of x for which Cos^(-1)(cos4) gt 3x^(2)-4x is

    Text Solution

    |

  18. The least integral value of k for which (k-2)x^(2)+8x+k+4 gt Sin^(-1)(...

    Text Solution

    |

  19. If x, y, z are natural numbers such that cot^(-1)x+cot^(-1)y=cot^(-1)z...

    Text Solution

    |

  20. Which of the following function(s) is/are periodic?

    Text Solution

    |