Home
Class 12
MATHS
If A = [(1,sintheta,1),(-sintheta,1,sint...

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

A

`[(5)/(2),4)`

B

`((3)/(2),3]`

C

`(0,(3)/(2)]`

D

`(1,(5)/(2)]`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

Similar Questions

Explore conceptually related problems

(sintheta+sin2theta)/(1+costheta+cos2theta)

costheta -sintheta -cottheta +1=0

If A = [(costheta,-sintheta),(sintheta,costheta)] , then the matrix A^(-50) , when theta = (pi)/(12) , is equal to

(1+tan^(2)theta)(1-sintheta)(1+sintheta)= ………… .

If A=[[costheta,sintheta],[-sintheta,costheta]],then Lim_(x_>oo)1/nA^n is

Prove that (1+sintheta)/costheta+costheta/(1+sintheta)=2sectheta

If x=a(theta+sintheta), y=a(1-costheta) then prove that at theta=pi/2, y''=1/a .

Prove that (sintheta)/(cosectheta+cottheta)=1-costheta

sqrt((1+sintheta)/(1-sintheta))=sectheta+x. Then x is:

Prove that sectheta(1-sintheta)(sectheta+tantheta)=1

CENGAGE-JEE 2019-MCQ
  1. If the system of linear equations x-4y+7z=g, 3y-5z=h, -2x+5y-9z=k is c...

    Text Solution

    |

  2. If the system fo equations x+y+z = 5 x + 2y + 3z = 9 x + 3y + a...

    Text Solution

    |

  3. Let a(1),a(2),a(3), …, a(10) be in G.P. with a(i) gt 0 for i=1, 2, …, ...

    Text Solution

    |

  4. If the system of linear equations 2x+2y+3z=a 3x-y+5z=b x-3y+2z=...

    Text Solution

    |

  5. prove that [ [a-b-c , 2a , 2a ] , [2b , b-c-a , 2b ] ,[2c ,2c,c-a-b]]=...

    Text Solution

    |

  6. An ordered pair (alpha, beta) for which the system of linear equations...

    Text Solution

    |

  7. The set of all values of lambda for which the system of linear equatio...

    Text Solution

    |

  8. If A = [(costheta,-sintheta),(sintheta,costheta)], then the matrix A^(...

    Text Solution

    |

  9. Matrix=[[e^t,e^-t(sint-2cost),e^-t(-2sint-cost)],[e^t,-e^-t(2sint+cost...

    Text Solution

    |

  10. Let d in R and A= ((-2,4+d, sintheta-2),(1, sintheta+2,d),(5, 2sinthet...

    Text Solution

    |

  11. Let A=[(2,b,1),(b,b^(2)+1,b),(1,b,2)] where b gt 0. Then the minimum v...

    Text Solution

    |

  12. Let A=[[0,2q,r] , [p,q,-r] , [p,-q,r]] If A A^T=I3 then |p|=

    Text Solution

    |

  13. Let A and B be two invertible matrices of order 3xx3. If det. (ABA^(T)...

    Text Solution

    |

  14. Let P=[(1,0,0),(4,1,0),(16,4,1)] and I be the identity matrix of order...

    Text Solution

    |

  15. If A = [(1,sintheta,1),(-sintheta,1,sintheta),(-1,-sintheta,1)], then ...

    Text Solution

    |

  16. Two cards are drawn successively with replacement from a well-shuffled...

    Text Solution

    |

  17. An urn contains 5 red and 2 green balls. A ball is drawn at random fro...

    Text Solution

    |

  18. An unbiased coin is tossed. If the result is a head, a pair of unbi...

    Text Solution

    |

  19. If the probability of hitting a target by a shooter, in any shot is 1/...

    Text Solution

    |

  20. In a random experiment, a fair die is rolled until two fours are obtai...

    Text Solution

    |