Home
Class 12
MATHS
If |(1,-t a ntheta),(t a ntheta,1)| |(1,...

If `|(1,-t a ntheta),(t a ntheta,1)| |(1,t a ntheta),(-t a ntheta,1)|^-1=|[a,-b],[b ,a]|` , then a. `a=cos2theta` b. `a=1` c. `b=sin2theta` d. `b=-1`

Promotional Banner

Topper's Solved these Questions

  • MATHMETICAL REASONING

    CENGAGE PUBLICATION|Exercise Archives|10 Videos
  • METHODS OF DIFFERENTIATION

    CENGAGE PUBLICATION|Exercise Multiple Correct Answer Type|7 Videos

Similar Questions

Explore conceptually related problems

If [(1,-tan theta),(tan theta,1)][(1,tan theta),(-tan theta,1)]^(-1)=[(a,-b),(b,a)], then

If A = [(1,-tan""(theta)/(2)),(tan""(theta)/(2), 1)] and B = [(1,tan""(theta)/(2)),(-tan""(theta)/(2), 1)] show that, AB^(-1) = [(costheta,-sin theta),(sin theta, cos theta)] .

Evaluate: int_(-pi)^(3pi)log(s e c theta-t a ntheta)d theta

If t a n^2theta=2t a n^2varphi+1 , prove that cos2theta+sin^2phi =0.

If sin theta+cos theta=a,tan theta+cot theta=b, show that (a^(2)-1)/(2)=(1)/(b)

If sin^3theta+sinthetacos^2theta=1,t h e ntheta is equal to (n in Z)

If a^(2)(1- sin theta) +b^(2)(1+ sin theta)= 2 ab cos theta then show that 2tan theta=(a)/(b)-(a)/(a)

If A=[(costheta,sintheta),(-sintheta,costheta)] , then prove that A^(n)=[(cosntheta,sin n theta),(-sin ntheta,cos n theta)], n in N .

If A = ([cos theta,sin theta],[-sin theta,cos theta]) show that A= ([cos ntheta,sin n theta],[-sin n theta,cos n theta]) n= positive integer.

If sin theta = (2t)/(1+t^(2)) and theta lies in the second quadrant, then cos theta is equal to

CENGAGE PUBLICATION-MATRICES-All Questions
  1. If A is a matrix such that A^2+A+2I=Odot, the which of the following i...

    Text Solution

    |

  2. If A(theta)=[[sintheta, icostheta], [icostheta, sintheta]] , then whic...

    Text Solution

    |

  3. If |(1,-t a ntheta),(t a ntheta,1)| |(1,t a ntheta),(-t a ntheta,1)|^-...

    Text Solution

    |

  4. If A=[[3,-3, 4], [2,-3, 4], [0,-1, 1]] , then a. a d j(a d j A)=A b. |...

    Text Solution

    |

  5. If [[alpha, beta], [gamma, -alpha]] is to be square root of two-rowed ...

    Text Solution

    |

  6. If A=[a("ij")](4xx4), such that a("ij")={(2",","when "i=j),(0",","when...

    Text Solution

    |

  7. Statement 1: Let A ,B be two square matrices of the same order such th...

    Text Solution

    |

  8. If the matrices, A ,B ,(A+B) are non-singular, then prove that [A(A+B)...

    Text Solution

    |

  9. Let A and B be two 2xx2 matrices. Consider the statements (i) A B=0 ...

    Text Solution

    |

  10. The inverse of a skew-symmetric matrix of odd order a. is a symmetric...

    Text Solution

    |

  11. The number of diagonal matrix, A of ordern which A^3=A is a. 1 b. 0 ...

    Text Solution

    |

  12. Find the points at which the function f given by f(x)=(x+1)^3 has loca...

    Text Solution

    |

  13. A is a 2xx2 matrix such that A[[1],[-1]]=[[-1],[ 2]] and A^2[[1],[-1]]...

    Text Solution

    |

  14. If A=[(a,b),(0,a)] is nth root of I(2), then choose the correct statem...

    Text Solution

    |

  15. Let A ,B be two matrices such that they commute, then for any positive...

    Text Solution

    |

  16. The product of matrices A=[[cos^2theta,sinthetacostheta],[sinthetacost...

    Text Solution

    |

  17. If A ,\ B are square matrices of order 3,\ A is non-singular and A ...

    Text Solution

    |

  18. If X=[[0, 1], [0, 0]] , then prove that (p I+q X)^m=p^m I+m p^(m-1)q ...

    Text Solution

    |

  19. Let omega != 1 be cube root of unity and S be the set of all non-sing...

    Text Solution

    |

  20. Let P=[a(i j)] be a 3xx3 matrix and let Q=[b(i j)],w h e r eb(i j)=2...

    Text Solution

    |