Home
Class 12
MATHS
If A(theta)=[(sin theta, i cos theta),(i...

If `A(theta)=[(sin theta, i cos theta),(i cos theta, sin theta)]`, then which of the following is not true ?

A

`A(theta)^(-1)=A(pi-theta)`

B

`A(theta)A(pi+theta)` is a null matrix

C

`A(theta)` is invertible for all `theta in R`

D

`A(theta)^(-1)=A(-theta)`

Text Solution

Verified by Experts

The correct Answer is:
A, B, C
Promotional Banner

Topper's Solved these Questions

  • MATRICES AND DETERMINANTS

    VMC MODULES ENGLISH|Exercise Numerical ValueType for JEE Main|15 Videos

  • MATRICES AND DETERMINANTS

    VMC MODULES ENGLISH|Exercise JEE MAIN ARCHIVE|92 Videos

  • MATRICES AND DETERMINANTS

    VMC MODULES ENGLISH|Exercise JEE ADVANCED ARCHIVE|78 Videos

  • JEE MAIN REVISON TEST-23

    VMC MODULES ENGLISH|Exercise MATHEMATICS (SECTION 2)|5 Videos

  • MOCK TEST 1

    VMC MODULES ENGLISH|Exercise PART III : MATHEMATICS (SECTION-2)|10 Videos

Similar Questions

Explore conceptually related problems

int (d theta)/((sin theta - 2 cos theta)(2 sin theta + cos theta))

(1+sin 2theta+cos 2theta)/(1+sin2 theta-cos 2 theta) =

sin^(3)theta + sin theta - sin theta cos^(2)theta =

(sin theta + sin 2 theta)/( 1 + cos theta + cos 2 theta) = tan theta.

If E(theta)=[[cos theta, sin theta] , [-sin theta, cos theta]] then E(alpha) E(beta)=

([cos theta+i sin theta)/(sin theta+i cos theta))^(4)=?

Prove that : (sin^(2)theta)/(cos theta)+cos theta=sec theta

Find the value of (1+cos theta+sin theta)/(1-cos theta +sin theta)

If f (theta) = [[cos^(2) theta , cos theta sin theta,-sin theta],[cos theta sin theta , sin^(2) theta , cos theta ],[sin theta ,-cos theta , 0]] ,then f ( pi / 7) is

Prove that : sin theta cos^3 theta - cos theta sin^3 theta = 1/4 sin4theta .

VMC MODULES ENGLISH-MATRICES AND DETERMINANTS -LEVEL 2
  1. Let A and B be two nonsingular square matrices, A^(T) and B^(T) are th...

    Text Solution

    |

  2. If A(theta)=[(sin theta, i cos theta),(i cos theta, sin theta)], then ...

    Text Solution

    |

  3. If A=[[3,-3,4],[2,-3,4],[0,-1,1]] , then

    Text Solution

    |

  4. If A^(-1)=[(1,-1,2),(0,3,1),(0,0,-1//3)], then

    Text Solution

    |

  5. Which of the following statements is/are true about square matrix A or...

    Text Solution

    |

  6. If A, B, and C are three square matrices of the same order, then AB=AC...

    Text Solution

    |

  7. Suppose a1, a, are real numbers, with a1!=0. If a1, a2,a3, are in A....

    Text Solution

    |

  8. Let A=[(1,0),(1,1)] . Then which of the following is not true ?

    Text Solution

    |

  9. If C is skew-symmetric matrix of order n and X isnxx1 column matrix, t...

    Text Solution

    |

  10. If S=[(0,1,1),(1,0,1),(1,1,0)]a n dA=[(b+c,c+a,b-c),(c-b,c+b, a-b),(b-...

    Text Solution

    |

  11. If A B=A and B A=B , then show that A^2=A , B^2=B .

    Text Solution

    |

  12. Let K be a positive real number and A=[(2k-1,2sqrt(k),2sqrt(k)),(2sqrt...

    Text Solution

    |

  13. Let A=a0 be a matrix of order 3, where a(i j)=x ; ifi=j ,x in R, 1 if...

    Text Solution

    |

  14. Let M and N be two 3xx3 nonsingular skew-symmetric matrices such that ...

    Text Solution

    |

  15. For 3xx3 matrices M \ a n d \ N , which of the following statement (s)...

    Text Solution

    |

  16. Let A=[a("ij")](3xx3) be a matrix such that A A^(T)=4I and a("ij")+2c(...

    Text Solution

    |

  17. Let A and B be two nonsingular square matrices, A^(T) and B^(T) are th...

    Text Solution

    |

  18. If A is a symmetric matrix, B is a skew-symmetric matrix, A+B is nonsi...

    Text Solution

    |

  19. If A^(-1)=[(sin^(2)alpha, 0, 0),(0, sin^(2)beta,0),(0, 0,sin^(2)gamma)...

    Text Solution

    |

  20. A is even ordered non singular symmetric matrix and B is even ordered ...

    Text Solution

    |