Home
Class 12
MATHS
If A = (1)/(pi) [{:(sin^(-1)(pix),, tan^...

If `A = (1)/(pi) [{:(sin^(-1)(pix),, tan^(-1)((x)/(pi))),(sin^(-1)((x)/(pi)),,cot^(-1)((x)/(pi))):}]`
`B = (1)/(pi) [{:(-cos^(-1)(pix),, tan^(-1)((x)/(pi))),(sin^(-1)((x)/(pi)),,-tan^(-1)((x)/(pi))):}]`
then A - B is equal to

A

I

B

O

C

2I

D

(1)/(2)

Text Solution

Verified by Experts

The correct Answer is:
D
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 = 1/pi [(sin^(-1)(xpi),tan^(-1)(x/pi)),(sin^(-1)(x/pi),cot^(-1)(pix))] B = 1/pi [(-cos^(-1)(xpi),tan^(-1)(x/pi)),(sin^(-1)(x/pi),-tan^(-1)(pix))] then A-B is equal to :

If tan^(-1)x=(pi)/(4)-tan^(-1)((1)/(3)) , then x is

sin ^(-1) (5)/(x)+sin ^(-1) (12)/(x)=(pi)/(2) then x=

If sin ^(-1) (3)/(x)+sin ^(-1) (4)/(x)=(pi)/(2) then x=

If tan ^(-1) ((a)/(x))+tan ^(-1) ((b)/(x))=(pi)/(2), then x=

If sin^(-1)x+sin^(-1)y=(pi)/(2) , then x^(2) is equal to

sin ^(-1) x=(pi)/(5) , then cos ^(-1) x=

HIMALAYA PUBLICATION-MATRICES AND DETERMINANTS-QUESTION BANK
  1. If A= [(0,1),(1,0)], then A^(2) equal to

    Text Solution

    |

  2. A and B are two matrices of the order 3xx m and 3xx n respectively, an...

    Text Solution

    |

  3. If A = (1)/(pi) [{:(sin^(-1)(pix),, tan^(-1)((x)/(pi))),(sin^(-1)((x)/...

    Text Solution

    |

  4. If [(2x+y,4x),(5x-7,4x)]= [ (7,7y-13),(y ,x+6)] , then the value o...

    Text Solution

    |

  5. Total number of possible symmetric matrices of order 3xx 3, whose entr...

    Text Solution

    |

  6. If x,y,z are nonzero real number , then the inverse of matrix A= {:[( ...

    Text Solution

    |

  7. Which of the given values of x and y make the following pair of matric...

    Text Solution

    |

  8. If A=[(alpha, beta),(gamma, -alpha)] is such that A^(2)=I, then

    Text Solution

    |

  9. If the matrix A is both symmetric and skew symmetric, then

    Text Solution

    |

  10. If A is square matrix such that A^(2)=A, then (I+A)^(3)-7A is equal to

    Text Solution

    |

  11. Matrices A and B will be inverse of each other only if

    Text Solution

    |

  12. If A, B are symmetric matrices of same order, then AB-BA is a

    Text Solution

    |

  13. If A=[(cos alpha, -sin alpha),(sin alpha, cos alpha)], and A+A'=I, the...

    Text Solution

    |

  14. Assume X, Y, Z, W and P are matrices of order 2xx n, 3xxk, 2xxp, n xx...

    Text Solution

    |

  15. If X and Z are of order 2xx n and 2xx p respectively and n=p then, 7 X...

    Text Solution

    |

  16. Prove that {:|( b+c,a,a), ( b,c+a,b),( c,c,b+a) |:} = 4abc

    Text Solution

    |

  17. Delta=[[1,1+ac,1+bc],[1,1+ad,1+bd],[1,1+ac, 1+bc]]

    Text Solution

    |

  18. If (1)/(a)+(1)/(b)+(1)/(c)=0 then |[1+a, 1, 1 ],[1, 1+b, 1],[1,1,1+c]|...

    Text Solution

    |

  19. If a, b, c are all different from zero and Delta= |[1+a,1,1],[1,1+b,1]...

    Text Solution

    |

  20. The value of the determinant : |(1,1,1),(""^mC1,""^(m+1)C1,""^(m+2)C...

    Text Solution

    |