Home
Class 12
MATHS
For which values of a does the equation ...

For which values of a does the equation `4sin(x+pi/3)cos(x-pi/6)=a^2+sqrt(3)sin2x-cos2x` have solution? Find the solution for a-0.

A

`-2`

B

0

C

2

D

`a,ain]-2,2[`

Text Solution

Verified by Experts

The correct Answer is:
A, B, C, D
Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRIC EQUATIONS AND INEQUATIONS

    ARIHANT MATHS|Exercise Exercise (Passage Based Questions)|13 Videos

  • TRIGONOMETRIC EQUATIONS AND INEQUATIONS

    ARIHANT MATHS|Exercise Trigonometric Equations and Inequations Exercise 3 :Passage Based Questions|1 Videos

  • TRIGONOMETRIC EQUATIONS AND INEQUATIONS

    ARIHANT MATHS|Exercise Exercise (Single Option Correct Type Questions)|60 Videos

  • THREE DIMENSIONAL COORDINATE SYSTEM

    ARIHANT MATHS|Exercise Three Dimensional Coordinate System Exercise 12 : Question Asked in Previous Years Exam|2 Videos

  • TRIGONOMETRIC FUNCTIONS AND IDENTITIES

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|18 Videos

Similar Questions

Explore conceptually related problems

Find the value of 'a' which the system of equation sin x * cos y=a^(2) and sin y* cos x =a have a solution

Find the solution of the equation ( sin x + cos x ) sin 2 x =a(sin^(3) x + cos^(3) x) located between (pi)/(2) and pi and for which values of 'a' does this equation have at most one solution satisfying the condition (pi)/(2) le x le pi .

Determine all value of 'a' for which the equation cos^(4) x-(a+2) cos^(2)x-(a+3)=0 , possess solution.

If 2 cos x lt sqrt(3) and x in [-pi, pi] , then find the solution set for x .

For x in (-pi, pi) find the value of x for which the given equation (sqrt 3 sin x + cos x)^(sqrt(sqrt3 sin 2 x-cos 2 x+2))=4 is satisfied.

The number of solutions of the equation 16(sin^(5)x +cos^(5)x)=11(sin x + cos x) in the interval [0,2pi] is

Find the number of solution(s) of the equation cos (pi sqrt(x)) cos (pi sqrt(x-4))=1 .

The number of real solutions of the equation sqrt(1+cos 2x) = sqrt2 cos^-1 in [pi/2, pi) is

For x in (0, pi) the equation sin x+2 sin 2x-sin 3x=3 has

The number of real solution of the equation sqrt(1 + cos 2x) = sqrt2 sin^(-1) (sin x), -pi le x le pi , is

ARIHANT MATHS-TRIGONOMETRIC EQUATIONS AND INEQUATIONS-Exercise (More Than One Correct Option Type Questions)
  1. The equation 2 sin^(3) theta+(2 lambda-3) sin^(2) theta-(3 lambda+2) s...

    Text Solution

    |

  2. If x+y=2pi//3 and sin x//sin y=2, then the

    Text Solution

    |

  3. If 0 lt x lt 2 pi and |cos x| le sin x, then

    Text Solution

    |

  4. If xa n dy are positive acute angles such that (x+y) and (x-y) satisfy...

    Text Solution

    |

  5. If x+y=(4pi)/(3) and sin x = 2 sin y , then

    Text Solution

    |

  6. The number of solutions of the equations y=1/3[sin theta+[sin theta +[...

    Text Solution

    |

  7. If [sin x]+[sqrt(2) cos x]=-3 , x in [0,2pi], (where ,[.] denotes the...

    Text Solution

    |

  8. If alpha in [-2pi, 2pi] and cos.(alpha)/(2)+sin.(alpha)/(2)=sqrt(2)(co...

    Text Solution

    |

  9. The number of value of alpha in the interval [-pi,0] satisfying sin...

    Text Solution

    |

  10. Find the number of solution of theta in [0,2pi] satisfying the equatio...

    Text Solution

    |

  11. If alpha and beta are the solution of a cos theta + b sin theta = c...

    Text Solution

    |

  12. The solution of the equation sin 2x + sin 4x = 2 sin 3x is

    Text Solution

    |

  13. One of the general solutions of 4 sin^(4) x+cos^(4) x=1 is

    Text Solution

    |

  14. The value of x , 0 le x le (pi)/2 which satisfy the equation 81^( si...

    Text Solution

    |

  15. The value of x in (0,pi/2) satisfying (sqrt(3)-1)/(sinx)+(sqrt(3)+1)/(...

    Text Solution

    |

  16. The values of alpha for which the equation alpha^2/(1-tan^2x)=(sin^2...

    Text Solution

    |

  17. For which values of a does the equation 4sin(x+pi/3)cos(x-pi/6)=a^2+sq...

    Text Solution

    |

  18. Which of the following is/are correct?

    Text Solution

    |

  19. If |{:(1+cos^(2)theta,sin^(2)theta,4cos6theta),(cos^(2)theta,1+sin^(2)...

    Text Solution

    |

  20. If [x] dnote the greatest integer less than or equal to x then the equ...

    Text Solution

    |