Home
Class 12
MATHS
If A=[[1,-1],[ 2, 1]],B=[[a,1],[b,-1]]a ...

If `A=[[1,-1],[ 2, 1]],B=[[a,1],[b,-1]]a n d(A+B)^2=A^2+B^2+2A B ,t h e n` a.`a=-1` b. `a=1` c. `b=2` d. `b=-2`

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 A = [[1,-1],[2,-1]],B = [[a,1],[b,-1]] and (A+B)^2 = A^2+B^2 find a and b.

If A={:[(1,-1),(2,-1)],B={:[(a,1),(b,-1)], and (A+B)^(2)=A^(2)+B^(2), find a and b.

Let A +2B=[[1, 2, 0],[ 6,-3, 3],[-5, 3, 1] ] and 2A-B=[[2,-1, 5 ],[2,-1, 6],[ 0, 1, 2]] . Then T r(B) has the value equal to a. 0 b. 1 c. 2 d. none

If A=1/3|[1, 2, 2], [2, 1,-2],[a,2,b]| is an orthogonal matrix, then a=-2 b. a=2,b=1 c. b=-1 d. b=1

If a^2+b^2=1 t h e n (1+b+i a)/(1+b-i a)= 1 b. 2 c. b+i a d. a+i b

If cos^2A+cos^2B+cos^2C=1, t h e n ABC is

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

If A=[[a+i b, c+i d],[-c+i d, a-i b]] and a^2+b^2+c^2+d^2=1,t h e n ,A^(-1) is equal to a. [[a+i b,-c+i d],[c+i d, a-i b]] b. [[a-i b,-c-i d],[-c-i d, a+i b]] c. [[a+i b,-c-i d],[-c+i d, a-i b]] d. none of these

If the volume of tetrahedron A B C D is 1 cubic units, where A(0,1,2),B(-1,2,1)a n dC(1,2,1), then the locus of point D is a. x+y-z=3 b. y+z=6 c. y+z=0 d. y+z=-3

If a+c = 2b and 2/c= 1/b+1/d then prove that a:b = c:d.

CENGAGE PUBLICATION-MATRICES-All Questions
  1. Consider three matrices A=[(2,1),(4,1)], B=[(3,4),(2,3)] and C=[(3,-4)...

    Text Solution

    |

  2. If A B=Aa n dB A=B , then which of the following is/are true? A is ide...

    Text Solution

    |

  3. If A=[[1,-1],[ 2, 1]],B=[[a,1],[b,-1]]a n d(A+B)^2=A^2+B^2+2A B ,t h e...

    Text Solution

    |

  4. Let Aa n dB be two nonsingular square matrices, A^T a n dB^T are the t...

    Text Solution

    |

  5. If A=1/3|[1, 2, 2], [2, 1,-2],[a,2,b]| is an orthogonal matrix, then ...

    Text Solution

    |

  6. If A is a matrix such that A^2+A+2I=Odot, the which of the following i...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |