Home
Class 12
MATHS
The value of theta , lying between th...

The value of ` theta ` , lying between ` theta =0 and theta=(pi)/(2)` and satisfying the equation . `|{:(1+ cos^(2 ) theta , sin^(2) theta , 4 sin 4 theta ),(cos^(2) theta , 1+sin^2 theta , 4 sin 4 theta ),(cos^(2) theta , sin^(2) theta , 1+ 4 sin 4 theta ):}|=0 , is `

A

`(11pi)/(24)`

B

`(7pi)/(24)`

C

`(5pi)/(24)`

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
A, B
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 Exercise (Single Integer Answer Type Questions)|12 Videos

  • TRIGONOMETRIC EQUATIONS AND INEQUATIONS

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

  • THREE DIMENSIONAL COORDINATE SYSTEM

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|44 Videos

  • TRIGONOMETRIC FUNCTIONS AND IDENTITIES

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

Similar Questions

Explore conceptually related problems

The value of theta lying between theta=0 and theta=(pi)/(2) and satisfying the equation |1+sin^(2)theta,cos^(2)theta,4sin4 thetasin^(2)theta,1+cos^(2)theta,4sin4 thetasin^(2)theta,cos^(2)theta,1+4sin4 theta]|=0

Number of values of theta lying between theta=0 and theta=pi satisfying the equation |(1 +sin^2 theta,cos^2 theta,4 sin 6 theta),(sin^2 theta,1+cos^2 theta,4 sin 6 theta),(sin ^2 theta,cos^2 theta,1+4sin 6 theta)|=0 is

If sin theta + sin ^(2) theta =1, " then" cos^(2) theta + cos^(4) theta

sin theta cos ^ (3) theta-cos theta sin ^ (3) theta = (1) / (4) sin4 theta

The value of theta lying between 0 and pi/2 and satisfying the equation |(1+cos^2theta, sin^2theta, 4sin4theta),(cos^2theta, 1+sin^2theta, 4sin4theta),(cos^2theta, sin^2theta, 1+4sin4theta)|=0 is (are) (A) (7pi)/24 (B) (3pi)/8 (C) (11pi)/24 (D) (7pi)/12

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  4. If x and y are positive acute angles such that (x+y) and (x-y) satisf...

    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 th ...

    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. The general solution of 4sin^(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. The value of theta , lying between theta =0 and theta=(pi)/(2) and ...

    Text Solution

    |

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

    Text Solution

    |