Home
Class 12
MATHS
Equation k.cosx-3.sinx=k+1 is solvable i...

Equation k.cosx-3.sinx=k+1 is solvable in R if k is in the internal

A

`[4, infty)`

B

`(-infty, 4]`

C

`[-4, 4]`

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRIC FUNCTIONS

    MARVEL PUBLICATION|Exercise TEST YOUR GRASP: CHAPTER 3-3.1|10 Videos

  • TRIGONOMETRIC FUNCTIONS

    MARVEL PUBLICATION|Exercise TEST YOUR GRASP: CHAPTER 3-3.2|17 Videos

  • TRIGONOMETRIC FUNCTIONS

    MARVEL PUBLICATION|Exercise MULTIPLE CHOICE QUESTIONS - PART-B: MASTERING THE BEST|27 Videos

  • THREE DIMENSIONAL GEOMETRY

    MARVEL PUBLICATION|Exercise MULTIPLE CHOICE QUESTIONS|39 Videos

  • VECTORS

    MARVEL PUBLICATION|Exercise TEST YOUR GRASP|20 Videos

Similar Questions

Explore conceptually related problems

The equation k cos x-3sinx=k+1 is solvable only if

Prot that the equation k cos x-3s in x=k+1 possess a solution if k in(-oo,4]

prove that the equation k cos x-3sin x=k+1 has a solution for x' for k in(-oo,4]

The number of integral values of 'k' for which the equation 3sinx + 4 cosx = k + 1 has a solution, k in R is

Consider the system of equations x-2y+3z=-1, -x+y-2z=k, x-3y+4z=1 Assertion: The system of equations has no solution for k!=3 and Reason: The determinant |(1,3,-1),(-1,-2,k),(1,4,1)|!=0, for k!=3 (A) Both A and R are true and R is the correct explanation of A (B) Both A and R are true R is not te correct explanation of A (C) A is true but R is false. (D) A is false but R is true.

The equation |x+2|-|x+1|+|x-1|=K,x in R has two solutions if K is equal to

3cosx+4Sinx = k+1 then set of integral value of k

The equation |x+2|-|x+1|+|x1|=K,x in R has one solution,then find value of K .

Consider the quadratic equation (1+k)x^(2)-2(1+2k)x+(3+k)=0 , where k in R-{-1} . The set of values of k such that the given quadratic has both the roots positive is

MARVEL PUBLICATION-TRIGONOMETRIC FUNCTIONS-MASTERING THE BEST - ALL TOPICS
  1. The value of theta , lying between theta =0 and theta=(pi)/(2) and ...

    Text Solution

    |

  2. The equation E= cos x.sinx attains its maximum value at x=

    Text Solution

    |

  3. Equation k.cosx-3.sinx=k+1 is solvable in R if k is in the internal

    Text Solution

    |

  4. If alpha,beta are the different values of x satisfying acosx+bsinx=c t...

    Text Solution

    |

  5. The general solution of e^(-1/sqrt2)(e^sinx+e^cosx)=2 is

    Text Solution

    |

  6. If tan 2x =tan((x)/(2)), then the value of x is

    Text Solution

    |

  7. Let n be a positive integer such that si, pi/(2n)+cos, pi/(2n)= sqrt(n...

    Text Solution

    |

  8. If x in [0,2pi] and |sec x+ tan x|=|sec x|+|tan x|, then x lies in the...

    Text Solution

    |

  9. If 1+sintheta+sin^2theta+sin^3theta+..to oo=4+2sqrt3 0<theta<pi, t...

    Text Solution

    |

  10. If: (log(cos x) sin x) + (log(sin x)cos x)=2, then, in general, x=

    Text Solution

    |

  11. If sin^(- 1)(x-(x^2)/2+(x^3)/4-.....)+cos^(- 1)(x^2-(x^4)/2+(x^6)/4-....

    Text Solution

    |

  12. If: tan^(2) theta + sec 2theta =1, then the general value of theta is

    Text Solution

    |

  13. The domain of the function f(x)=sin^(-1)log(3)(x/3)) is

    Text Solution

    |

  14. Find the domain and range of the function f(x) = sin^(-1)((1+e^(x))^(-...

    Text Solution

    |

  15. Domain of the function f(x) = sqrt(3-x) + cos^(-1)((3-2x))/5 is

    Text Solution

    |

  16. The range of the function f(x) = (1)/(2-sin 3x) is

    Text Solution

    |

  17. Domain of f(x) =(sin^(-1)(x-3))/sqrt(9-x^(2)), is

    Text Solution

    |

  18. Quadratic equation 8 "sec"^(2) theta - 6 "sec" theta + 1 = 0 has

    Text Solution

    |

  19. In a right angled triangle the hypotenuse is 2sqrt(2) times the length...

    Text Solution

    |

  20. If: sin(x+pi/6)=sqrt3/2, where 0 le x le 2pi, then: x=

    Text Solution

    |