Home
Class 12
MATHS
If the equation 2 cos x + cos 2 lambda ...

If the equation ` 2 cos x + cos 2 lambda x=3 ` has only one solution , then ` lambda ` is

A

1

B

A rational number

C

An irrational number

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRIC EQUATIONS AND INEQUATIONS

    ARIHANT MATHS ENGLISH|Exercise Exercise (More Than One Correct Option Type Questions)|25 Videos
  • TRIGONOMETRIC EQUATIONS AND INEQUATIONS

    ARIHANT MATHS ENGLISH|Exercise Exercise (Passage Based Questions)|13 Videos
  • TRIGONOMETRIC EQUATIONS AND INEQUATIONS

    ARIHANT MATHS ENGLISH|Exercise Exercise For Session 4|8 Videos
  • THREE DIMENSIONAL COORDINATE SYSTEM

    ARIHANT MATHS ENGLISH|Exercise Three Dimensional Coordinate System Exercise 12 : Question Asked in Previous Years Exam|2 Videos
  • TRIGONOMETRIC FUNCTIONS AND IDENTITIES

    ARIHANT MATHS ENGLISH|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|19 Videos

Similar Questions

Explore conceptually related problems

If sin x cos x cos 2x = lambda has a solution, then lambda lies in the interval

The value of k if the equation 2cosx+cos2k x=3 has only one solution is 2 (b) 2 (c) sqrt(2) (d) 1/2

The equation "sin"^(6) x + "cos"^(6) x = lambda , has a solution if

The range of value's of k for which the equation 2 cos^(4) x - sin^(4) x + k = 0 has atleast one solution is [ lambda, mu] . Find the value of ( 9 mu + lambda) .

If sin 2x cos 2x cos 4x=lambda has a solution then lambda lies in the interval

The equation a "cos" x - "cos" 2x = 2a-7 passesses a solution if

If the equation |x^2-5x + 6|-lambda x+7 lambda=0 has exactly 3 distinct solutions then lambda is equal to

Prove that for lambda gt 1 , the equation xlog x +x =lambda has least one solution in [1 , lambda] .

If the equation x^(3)-6x^(2)+9x+lambda=0 has exactly one root in (1, 3), then lambda belongs to the interval

The value of p for which the equation 3 " sin"^(2)x + 12 "cos" x - 3 =p has at least one solution are

ARIHANT MATHS ENGLISH-TRIGONOMETRIC EQUATIONS AND INEQUATIONS-Exercise (Single Option Correct Type Questions)
  1. If a , b in [0,2pi] and the equation x^2+4+3sin(a x+b)-2x=0 has at lea...

    Text Solution

    |

  2. The value of 'a' for which the equation 4cosec^(2)pi(a+x)+a^(2)-4a=0 h...

    Text Solution

    |

  3. If the equation 2 cos x + cos 2 lambda x=3 has only one solution , t...

    Text Solution

    |

  4. Let n be a positive integer such that sinpi/(2n)+cospi/(2n)=(sqrt(n))/...

    Text Solution

    |

  5. The number of solution of the equation 5 sec theta -13=12 tan theta ...

    Text Solution

    |

  6. The number of solutions of the equation x^(3)+x^(2)+4x+2sinx=0 in 0 le...

    Text Solution

    |

  7. If tan((pi)/(2) sin theta )= cot((pi)/(2) cos theta ), then sin thet...

    Text Solution

    |

  8. The equation sin x + sin y + sin z =-3 for 0 le x le 2pi , 0 le y l...

    Text Solution

    |

  9. If x= npi+(-1)^(n)alpha , n in I and x=npi+(-1)^(n)beta are the root...

    Text Solution

    |

  10. If tan m theta = tan n theta and general value of theta are in AP,...

    Text Solution

    |

  11. If sin 3 alpha =4 sin alpha sin (x+alpha ) sin(x-alpha ) , then

    Text Solution

    |

  12. lambda cos x - 3 sinx=lambda +1 is solvabel for which value of λ .

    Text Solution

    |

  13. cos 2x- 3 cos x + 1=(1)/((cot 2 x - cot x)sin (x-pi)) holds , if

    Text Solution

    |

  14. If sec x cos 5x=-1 and 0 lt x lt (pi)/(4), then x is equal to

    Text Solution

    |

  15. If sin^(100) theta - cos^(100) theta =1 , then theta is

    Text Solution

    |

  16. If sqrt(3) sin x - cos x ="min"(alpha in R){2,e^(2),pi, alpha^(2)-4al...

    Text Solution

    |

  17. The number of solutions of the equation cos 4x+6=7 cos 2x , when x ...

    Text Solution

    |

  18. The number of solutions of cot(5pi sin theta )=tan (5 pi cos theta ),...

    Text Solution

    |

  19. If exp [(sin^(2)x+sin^(4) x +sin^(6)x+.... oo)" In" 2] satisfies the ...

    Text Solution

    |

  20. The total number of solutions of cos x= sqrt(1- sin 2x) in [0, 2pi] is...

    Text Solution

    |