Home
Class 12
MATHS
If A= [[cos x, sin x],[-sin x, cos x]] a...

If `A= [[cos x, sin x],[-sin x, cos x]]` and `A(adj A)=k[[1,0],[0,1]]` then the value of `k` is

A

`sin x cos x`

B

I

C

2

D

3

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • MATHEMATICAL REASONING

    HIMALAYA PUBLICATION|Exercise Question Bank|97 Videos

  • MAXIMA AND MINIMA

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|167 Videos

Similar Questions

Explore conceptually related problems

If A= [[cos x,sin x,0],[-sin x,cos x,0],[0,0,1]]=f(x) then A^-1=

int (sin x)/(1 + cos x) dx .

The function f(x) {((sin x)/x + cos x, x ne 0), (k, x = 0):} is continuous at x = 0, then the value of k is

If the function f(x) = {(1-cos x)/(x^(2)) for x ne 0 is k for x = 0 continuous at x = 0, then the value of k is

The number of distinct real roots of [[sin x , cos x , cos x ],[cos x , sin x , cos x],[cos x , cos x , sin x]] =0 in the interval -(pi)/(4) le x le (pi)/(4) is

in (sin^(2)x)/(1+cos x) dx=

If f(x) = [(cos theta, - sin theta, 0),(sin x, cos x , 0),(0,0,1)] , show that F(x) F(y) = F(x + y) .

if the function f(x) ={ (1- cos2x)/( 1- cos x) ,x ne 0 is k for x =0 is continuous at x=0 then the the value of k is

HIMALAYA PUBLICATION-MATRICES AND DETERMINANTS-QUESTION BANK
  1. If S=[[a,b],[c,d]] then adj A=

    Text Solution

    |

  2. If A= [[1, 0,0],[0,1, 0],[a, b,-1]] then A^2=

    Text Solution

    |

  3. If A= [[cos x, sin x],[-sin x, cos x]] and A(adj A)=k[[1,0],[0,1]] the...

    Text Solution

    |

  4. If A is 3 xx 4 matrix and B is a matrix such that A^(1)B and B A^(1) a...

    Text Solution

    |

  5. If A= [[1, x],[x^2,4 y]], B= [[-3,1],[1,0]] and adj A+B=[[1,0],[0,1]],...

    Text Solution

    |

  6. Let A= [[1,2],[-5,1]] and A^-1=x A+y I, then the values of x and y are

    Text Solution

    |

  7. If A=[[alpha,0],[1,1]] and B=[[1,0],[5,1]] then the value of alpha for...

    Text Solution

    |

  8. If A= [(alpha,2),(2,alpha)] and |A^(3)|= 125 " then " alpha =

    Text Solution

    |

  9. If A = [(1,0,0),(0,1,1),(0,-2,4)] and also A^(-1)=1/6 (A^(2)+cA+dI) ...

    Text Solution

    |

  10. Let A and B be 3xx 3 matrices of real numbers, where A is symmetric an...

    Text Solution

    |

  11. If A = [(1,0),(1,1)] and I = [(1,0),(0,1)] , then which one of the f...

    Text Solution

    |

  12. If A B=A and B A=B, then B^2=

    Text Solution

    |

  13. The number of 3xx3 non - singular matrices , with four entries as 1 ...

    Text Solution

    |

  14. If x, y, z being positive |[1, log x y,log x z],[log y x,1,log y z],[l...

    Text Solution

    |

  15. If Dr= |[2^r-1,2 . 3^(r-1), 4 . 5^(r-1)],[alpha ,beta, gamma],[2^(n-1)...

    Text Solution

    |

  16. If a, b, c are in G.P then the value of the determinant Delta= [[a, b,...

    Text Solution

    |

  17. The determinant: |(xp+y,x,y),(yp+z,y,z),(0,xp+y,yp+z)|=0 if :

    Text Solution

    |

  18. The parameter on which the value of the determinant |[1, a, a^2],[...

    Text Solution

    |

  19. Let omega=-(1)/(2)+i (sqrt(3))/(2), then the value of [[1,1,1],[1,-...

    Text Solution

    |

  20. l,m,n are the pth , qth rth terms of a G.P. (all positive) , then |(lo...

    Text Solution

    |