Home
Class 12
MATHS
The value of theta lying between theta=...

The value of `theta` lying between `theta`=0 and `theta=(pi)/2` and satifying the equation
`|{:(1+sin^2theta,cos^2theta,4sin4theta),(sin^2theta,1+cos^2theta,4sin4theta),(sin^2theta,cos^2theta,1+4sin4theta):}|=0` is then `theta`=

A

`(7pi)/(24),(11pi)/(24)`

B

`(pi)/(24),(3pi)/(4)`

C

`(pi)/2,(3pi)/2`

D

`pi,3pi`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • DETERMINANT

    CHHAYA PUBLICATION|Exercise EXERCISE 2C|37 Videos

  • DETERMINANT

    CHHAYA PUBLICATION|Exercise Sample Questions for Competitive Examination (Multiple Correct Answers Type)|5 Videos

  • DETERMINANT

    CHHAYA PUBLICATION|Exercise EXERCISE 2A|36 Videos

  • DEFINITE INTEGRAL AS AN AREA

    CHHAYA PUBLICATION|Exercise Assertion-Reason Type|2 Videos

  • DIFFERENTIAL EQUATIONS OF THE FIRST ORDER AND FIRST DEGREE

    CHHAYA PUBLICATION|Exercise E ASSERTION-REASON TYPE|2 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^2theta cos^2theta4sin4thetasin^2theta1+cos^2theta4sin4thetasin^2thetacos^2theta1+4sin4theta|=0a r e (7pi)/(24) (b) (5pi)/(24) (c) (11pi)/(24) (d) pi/(24)

sin2theta - cos2theta =1

(1-cos2theta)/(sin2theta)=

(1+sin2theta+cos2theta)/(1+sin2theta-cos2theta)=?

sin4theta cos 2theta = cos5theta sin theta

If sin^2theta+cosec^2theta=2 then sin^4theta+cosec^2theta is :

sin theta +sin 2theta+sin3theta+sin4theta=0

The least value of 3sin^2theta+4cos^2theta is

If cos^2 theta-sin^2 theta= 1/2 then cos^4 theta-sin^4 theta=?

CHHAYA PUBLICATION-DETERMINANT -EXERCISE 2B
  1. Given that x=-9 is a root of |{:(x,3,7),(2,x,2),(7,6,x):}|=0 then the ...

    Text Solution

    |

  2. Let p lambda^4+qlambda^3+rlambda^2+slambda+t=|{:(lambda^2+3lambda,lamb...

    Text Solution

    |

  3. The value of theta lying between theta=0 and theta=(pi)/2 and satifyi...

    Text Solution

    |

  4. Evaluate the determinants |{:(1,a,a^2),(1,b,b^2),(1,c,c^2):}| .

    Text Solution

    |

  5. Evaluate the determinants |{:(x+4,x,x),(x,x+4,x),(x,x,x+4):}|

    Text Solution

    |

  6. Let A=|{:(" "1," "sin theta,1),(-sin theta," "1,sintheta),(-1,-sinth...

    Text Solution

    |

  7. Let A be a square matrix of order 3xx3, then |KA| is equal to

    Text Solution

    |

  8. |{:(alpha,beta,gamma),(alpha^2,beta^2,gamma^2),(beta+gamma,gamma+alpha...

    Text Solution

    |

  9. |{:(x,a,b),(a,x,b),(a,b,x):}|

    Text Solution

    |

  10. |{:(2,3,4),(3,4,5),(4,5,6):}|=0

    Text Solution

    |

  11. |{:(a,b,c),(x,y,z),(p,q,r):}|=|{:(x,y,z),(p,q,r),(a,b,c):}|=|{:(y,b,q)...

    Text Solution

    |

  12. |{:(1,omega,omega^2),(omega,omega^2,1),(omega^2,1,omega):}|=0 where om...

    Text Solution

    |

  13. |{:(b+c,a,1),(c+a,b,1),(a+b,c,1):}|=0

    Text Solution

    |

  14. |{:(a-b,1,a),(b-c,1,b),(c-a,1,c):}|=|{:(a,1,b),(b,1,c),(c,1,a):}|

    Text Solution

    |

  15. |{:(a+1,a+4,a+2),(a+2,a+5,a+4),(a+3,a+6,a+6):}|=0

    Text Solution

    |

  16. |{:(" "0," "a,b),(-a," "0,c),(-b,-c,0):}|

    Text Solution

    |

  17. |{:(9,9,12),(1,-3,-4),(1,9,12):}|=0

    Text Solution

    |

  18. |{:(a,a^2,bc),(b,b^2,ca),(c,c^2,ab):}|=|{:(1,a^2,a^3),(1,b^2,b^3),(1,c...

    Text Solution

    |

  19. |{:(441,442,443),(445,446,447),(449,450,451):}|=0

    Text Solution

    |

  20. Prove |{:(cos(x-a),cos(x+a),cosx),(sin(x+a),sin(x-a),sinx),(cosa tan x...

    Text Solution

    |