Home
Class 12
MATHS
Let A=|{:(" "1," "sin theta,1),(-sin the...

Let A=`|{:(" "1," "sin theta,1),(-sin theta," "1,sintheta),(-1,-sintheta,1):}|` , where `0lethetale2 pi`, then

A

|A|=0

B

`|A|in(2,oo)`

C

|a|`in(2,4)`

D

|A|`in[2,4]`

Text Solution

Verified by Experts

The correct Answer is:
D
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

Let A={:[( 1,sin theta , 1),( -sin theta , 1, sin theta ),( -1 ,-sin theta , 1 )]:} ,"where" 0 letheta le 2pi , Then

If A = [(1,sintheta,1),(-sintheta,1,sintheta),(-1,-sintheta,1)] , then for all thetain ((3pi)/(4),(5pi)/(4)) , det. (A) lies in the interval

If tan theta=8/15 the value of sqrt((1-sin theta)/(1+sintheta))

Solve: 4sintheta sin2theta sin4theta = sin 3theta

Prove that (1+sin2theta)/(1-sin2theta)=((1+tantheta)/(1-tantheta))^2

int_(0)^(pi)(sin4theta)/(sintheta)d theta=0

Prove that sqrt((1-sintheta)/(1+sintheta))+sqrt((1+sintheta)/(1-sintheta))=2/(costheta where pi/2ltthetaltpi .

1+2sintheta costheta-2sintheta - costheta =0 (0^(@) le theta le 360^(@))

Let f(theta)=(1+sin^(2)theta)(2-sin^(2)theta) . Then for all values of theta .

CHHAYA PUBLICATION-DETERMINANT -EXERCISE 2B
  1. Evaluate the determinants |{:(1,a,a^2),(1,b,b^2),(1,c,c^2):}| .

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  7. |{:(2,3,4),(3,4,5),(4,5,6):}|=0

    Text Solution

    |

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

    Text Solution

    |

  9. |{:(1,omega,omega^2),(omega,omega^2,1),(omega^2,1,omega):}|=0 where om...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  13. |{:(" "0," "a,b),(-a," "0,c),(-b,-c,0):}|

    Text Solution

    |

  14. |{:(9,9,12),(1,-3,-4),(1,9,12):}|=0

    Text Solution

    |

  15. |{:(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

    |

  16. |{:(441,442,443),(445,446,447),(449,450,451):}|=0

    Text Solution

    |

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

    Text Solution

    |

  18. |{:(101,103,105),(104,105,106),(107,108,109):}|=0

    Text Solution

    |

  19. |{:(5^2,5^3,5^4),(5^3,5^4,5^5),(5^4,5^6,5^7):}|=0

    Text Solution

    |

  20. |{:(1,alpha,alpha^2),(1,beta,beta^2),(1,gamma,gamma^2):}|=(alpha-beta)...

    Text Solution

    |