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

If `A=1/pi[sin^(-1)(pix)tan^(-1)(x/pi)sin^(-1)(x/pi)cot^(-1)(pix)]` and `B=1/pi[-cot^(-1)(pix)tan^(-1)(x/pi)sin^(-1)(x/pi)-tan^(-1)(pix)]` , then `A-B` is equal to `I` (b) 0 (c) `2I` (d) `1/2I`

A

I

B

0

C

2I

D

`1/2 I`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • MATRICES

    DISHA PUBLICATION|Exercise Exercise 1: Concept Builder (Topic 3)|23 Videos

  • MATHEMATICAL REASONING

    DISHA PUBLICATION|Exercise Exercise-2 : Concept Applicator|30 Videos

  • PRINCIPLE OF MATHEMATICAL INDUCTION

    DISHA PUBLICATION|Exercise Exercise-2 Concept Applicator|20 Videos

Similar Questions

Explore conceptually related problems

If A=1/pi[[sin^(-1)(pix),tan^(-1)(x/pi)], [sin^(-1)(x/pi),cot^(-1)(pix)]] and B=1/pi[[-cos^(-1)(pix),tan^(-1)(x/pi)],[sin^(-1)(x/pi),-tan^(-1)(pix)]] , then A-B is equal to I (b) 0 (c) 2I (d) 1/2I

sin^(-1)x+tan^(-1)x=(pi)/(2)

If A=(1)/(pi)[[sin^(-1)(x pi),tan^(-1)((x)/(pi))sin^(-1)((x)/(pi)),cot^(-1)(x pi)]] and B=(1)/(pi)[[-cos^(-1)((x)/(pi)),cot^(-1)(x pi)]] and sin^(-1)(x pi),-tan^(-1)((x)/(pi))] find the value of A-B in terms of identity matrix

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

If cot^(-1)x+tan^(-1)(1/2)=pi/4 then x is

If 3tan^(-1)x +cot^(-1)x=pi , then x equals to

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

DISHA PUBLICATION-MATRICES-Exercise 2: Concept Applicator
  1. If B is an idempotent matrix, and A=I-B, then

    Text Solution

    |

  2. Let A,B and C be nxxn matrices. Which one of the following is a correc...

    Text Solution

    |

  3. If A=1/pi[sin^(-1)(pix)tan^(-1)(x/pi)sin^(-1)(x/pi)cot^(-1)(pix)] and ...

    Text Solution

    |

  4. Let Ad nB be 3xx3 matrtices of ral numbers, where A is symmetric, "B" ...

    Text Solution

    |

  5. If P=[[sqrt3/2,1/2] , [-1/2,sqrt3/2]] and A=[[1,1] , [0,1]] and Q=PAP^...

    Text Solution

    |

  6. If [(0,2b,c),(a,b,-c),(a,-b,c)] is orthogonal matrix, then the value ...

    Text Solution

    |

  7. If A is a square matrix of order m, then the matrix B of same order is...

    Text Solution

    |

  8. If A1, A2, , A(2n-1)a r en skew-symmetric matrices of same order, the...

    Text Solution

    |

  9. For k=1/sqrt(50), the value of a, b, c such that PP' = I, where P=[(2/...

    Text Solution

    |

  10. IfA^(k)= 0 (Ais nilpotent with index k), (I-A)^(p)=I+A+A^(2)+. . .+A^(...

    Text Solution

    |

  11. If A and B are two square matrices such that B=-A^(-1)BA, then (A+B)^(...

    Text Solution

    |

  12. If A=[(1,-1),(2,-1)] and B=[(1,a),(4,b)] and (A+B)^(2)=A^(2)+B^(2). ...

    Text Solution

    |

  13. If A is a square matrix such that A A^T=I=A^TA, then A is

    Text Solution

    |

  14. If Aa n dB are symmetric matrices of the same order and X=A B+B Aa n d...

    Text Solution

    |

  15. [{:(2x+y,4x),(5x-7,4x):}]=[{:(7,7y-13),(y,x+6):}] then the value of x,...

    Text Solution

    |

  16. Given that [(1,omega,omega^(2)),(omega,omega^(2),1),(omega^(2),1,omega...

    Text Solution

    |

  17. If {:A=[(alpha,0),(1,1)]andB=[(1,0),(5,1)]:}, then te value of alpha f...

    Text Solution

    |

  18. [[i,0,0],[0,i,0],[0,0,i]] then A^(4n+1) =.... n in N

    Text Solution

    |

  19. The matrix A=[0-5 8 5 0 12-8-12 0] is a (a) diagonal matrix (b) symmet...

    Text Solution

    |

  20. If A=[(alpha,0),(1,1)] and B=[(9,a),(b,c)] and A^(2)=B, then the value...

    Text Solution

    |