Home
Class 12
MATHS
In the interval pi/2 lt x lt pi find the...

In the interval `pi/2 lt x lt pi` find the value of x for which the matrix`[(2sinx,3),(1,2sinx):}]` is singular

Text Solution

Verified by Experts

The correct Answer is:
`(2lamda)/3`
Promotional Banner

Topper's Solved these Questions

  • DETERMINANTS

    ARIHANT PUBLICATION|Exercise PART -5 QUESTION FOR PRACTICE |28 Videos

  • DETERMINANTS

    ARIHANT PUBLICATION|Exercise ODISHA BUREAU.S TEXTBOOK SOLUTIONS (EXERCISE 5(A))|82 Videos

  • DETERMINANTS

    ARIHANT PUBLICATION|Exercise PART -3 QUESTION FOR PRACTICE |11 Videos

  • CONTINUITY AND DIFFERENTIABILITY

    ARIHANT PUBLICATION|Exercise CHAPTER PRACTICE (4 MARK)|47 Videos

  • DIFFERENTIAL EQUATION

    ARIHANT PUBLICATION|Exercise CHAPTER PRACTICE (LONG ANSWER TYPE QUESTIONS)|21 Videos

Similar Questions

Explore conceptually related problems

Find the value of "tan"^(-1) (-1) in the interval (pi/(2),(3pi)/(2)) .

Find the value of "sin"^(-1)(-1/(2)) in the interval [pi/(2),(3pi)/(2)]

Verify mean value theorem for the function f(x)=sinx-sin2x in [0,pi]

If x in (0,pi/2) then find d/dx(sinx) .

What is the maximum value of sinx cosx for x in(pi/6,pi/2) ?

Write the value of int_(0)^(pi//2)(sinx)/(sinx+cosx)dx

If f(x) = sinx and g(x) = x^3 then find the value of[f (x).g (x)]^III at x=(pi)/2 .

ARIHANT PUBLICATION-DETERMINANTS -PART -4 QUESTION FOR PRACTICE
  1. For what value of lamda, the matrix [(1,lamda,0),(3,-1,2),(4,1,5)] i...

    Text Solution

    |

  2. In the interval pi/2 lt x lt pi find the value of x for which the matr...

    Text Solution

    |

  3. Find adjA if A=[(5,2),(7,3):}]

    Text Solution

    |

  4. Let A be the non singular square matrix of order 3 times 3 then prove ...

    Text Solution

    |

  5. IF A and B are matrix of order 3 and |A|=5 , |B|=5 then find the value...

    Text Solution

    |

  6. If A is matrix of order 3 and |A|=4 then find the value of |adj (A)|

    Text Solution

    |

  7. If A is a square matrix of order 3 such that|adj(A)|=64 then find|A|

    Text Solution

    |

  8. If |{:(2,lamda,-3),(0,2,5),(1,1,3):}| then A^-1 exist for which value ...

    Text Solution

    |

  9. Find the inverse of the matrix [(2,-2),(4,3):}]

    Text Solution

    |

  10. Find the inverse of the matrix [(cos theta, sin theta),(-sin theta, co...

    Text Solution

    |

  11. If A is a matrix of order 3 times 3 then show that (A^2)^-1=(A^-1)^2

    Text Solution

    |

  12. If A is a matrix of order 2 times 2 and |A|=5 find the value of |adj(A...

    Text Solution

    |

  13. IF A and B are invertible matrices, then which of the following is inc...

    Text Solution

    |

  14. IF A and B are invertible matrices, then which of the following is inc...

    Text Solution

    |

  15. If [[3,5,3],[2,4,2],[lambda,7,8]] is a singular matrix, write the valu...

    Text Solution

    |

  16. Find the adjoint of the following matrix. [{:(1,-1,2),(2,3,5),(-2,0,...

    Text Solution

    |

  17. Find the adjoint of the matrix A=[(1,2),(3,4):}] and verify that A[adj...

    Text Solution

    |

  18. Given A=[{:(2,-3),(-4,7):}] compute A^-1 and show that 2A^-1=9I-A

    Text Solution

    |

  19. IF A=[(1,tanx),(-tanx,1):}] then show that A^TA^-1=[(cos2x,-sin2x),(s...

    Text Solution

    |

  20. Let A=[(3,7),(2,5):}] and B=[(6,8),(7,9):}] then verify that (AB)^-1 =...

    Text Solution

    |