Home
Class 12
MATHS
The value of theta lying between 0 and p...

The value of `theta` lying between `0` and `pi/2` and satisfying the equation `|[1+sin^2theta,cos^2theta,4sin4theta] , [sin^2theta,1+cos^2theta,4sin4theta] , [sin^2theta,cos^2theta,1+4sin4theta]|=0` (A) `(7pi)/24 or (11pi)/24` (B) `(5pi)/24` (C) `pi/24` (D) none

A

`(5pi)/24,(3pi)/24`

B

`(7pi)/24,(5pi)/24`

C

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

D

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

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • DETERMINANTS

    AAKASH INSTITUTE|Exercise SECTION - B|21 Videos
  • DETERMINANTS

    AAKASH INSTITUTE|Exercise SECTION - C|7 Videos
  • DETERMINANTS

    AAKASH INSTITUTE|Exercise Try Yourself|12 Videos
  • CONTINUITY AND DIFFERENTIABILITY

    AAKASH INSTITUTE|Exercise section - J|6 Videos
  • DIFFERENTIAL EQUATIONS

    AAKASH INSTITUTE|Exercise Assignment Section - J (Aakash Challengers Questions)|4 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

The value of theta lying between theta=0a n dtheta=pi/2 and satisfying the equation |1+sin^2thetacos^2theta4sin4thetasin^2theta1+cos^2theta4sin4thetasin^2thetacos^2theta1+4sin4theta|=0a r e (7pi)/(24) (b) (5pi)/(24) (c) (11pi)/(24) (d) pi/(24)

The value of theta lying between 0 and (pi)/(2), and satisfying ,,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

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

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 |[1+sin^2theta, cos^2 theta,4sin 2theta] , [sin^2theta, 1+cos^2theta,4sin2theta] , [sin^2theta,cos^2theta,4sin2theta-1]|=0 and 0 lt theta lt pi/2 then cos4theta=

AAKASH INSTITUTE-DETERMINANTS -SECTION A
  1. Let x + y + z = 6, 4x + lambday - lambdaz = 0,3x + 2y - 4z = -5. The v...

    Text Solution

    |

  2. If A+B+C=pi, then value of |{:(sin(A+B+C),sinB,cosC),(-sinB,0,tanA),(c...

    Text Solution

    |

  3. The value of theta lying between 0 and pi/2 and satisfying the equatio...

    Text Solution

    |

  4. |[x,-6,-1],[2,-3x,x-3],[-3,2x,x+2]|=0

    Text Solution

    |

  5. If |{:(4,-4,0),(a,b+4,c),(a,b,c+4):}|=0, then a+b+c is equal to

    Text Solution

    |

  6. The equation |{:(x-2,3,1),(4x-2,10,4),(2x-1,5,1):}|=0 is satisfied by

    Text Solution

    |

  7. |{:(x,4, y+z),(y,4,z+x),(z,4,x+y):}| is eqaual to

    Text Solution

    |

  8. |{:(a,b,c),(b,c,a),(c,a,b):}| is equal to

    Text Solution

    |

  9. The roots of the equation |{:(x-1,1,1),(1,x-1,1),(1,1,x-1):}|=0 are

    Text Solution

    |

  10. The value of the determinant |{:(1,logba),(logab,1):}| is equal to

    Text Solution

    |

  11. |{:(1+a,c,1+bc),(1+a,b,1+bc),(1+a,e,1+bc):}| is equal to

    Text Solution

    |

  12. if [[-a^2,ab,ac],[ab,-b^2,bc],[ac,bc,-c^2]]=lambda a^2b^2c^2 then find...

    Text Solution

    |

  13. If f(x) =|(1,x,(x+1)),(2x,x(x-1),(x+1)x),(3x(x-1), x(x-1)(x-2),x(x-1)(...

    Text Solution

    |

  14. |{:("6i " "-3i " "1" ),("4 " " 3i" " -1"),("20 " "3 " " i"):}|=x+iy th...

    Text Solution

    |

  15. If the system of equations x-k y-z=0, k x-y-z=0,x+y-z=0 has a nonzero ...

    Text Solution

    |

  16. If s=(a+b+c),then value of |{:(s+c,a,b),(c,s+a,b),(c,a,s+b):}|is

    Text Solution

    |

  17. The number of distinct real roots of |s in x cos x cos x cos x s in x ...

    Text Solution

    |

  18. If a, b,c> 0 and x,y,z in R then the determinant: |((a^x+a^-x)^2,(a...

    Text Solution

    |

  19. The determinant D=|{:(cos(alpha+beta),-sin(alpha+beta),cos2beta),(sina...

    Text Solution

    |

  20. The roots of equation |(1,4,20),(1,-2,5),(1,2x,5x^2)|=0 are

    Text Solution

    |