Home
Class 12
MATHS
tan^(-1)((x)/(y))-tan^(-1)((x-y)/(x+y)) ...

`tan^(-1)((x)/(y))-tan^(-1)((x-y)/(x+y))` is

A

a.0

B

b.`(pi)/(4)`

C

c.`(pi)/(2)`

D

d.`pi`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • K-CET-MATHEMATICS-2015

    SUNSTAR PUBLICATION|Exercise MULTIPLE CHOICE QUESTIONS|60 Videos

  • P.U .BOARD LATEST MODEL QUESTION PAPER - 2

    SUNSTAR PUBLICATION|Exercise PART-E|4 Videos

Similar Questions

Explore conceptually related problems

Simplify the following: Evaluate tan^(-1)(x/y)-tan^(-1)((x-y)/(x+y))

If x, y, z are all non zero and x^(2)+y^(2)+z^(2)=r^(2) then tan ^(-1)((y z)/(x r))+tan ^(-1)((z x)/(y r))+tan ^(-1)((x y)/(z r))

If x^2+y^2+z^2=r^2,t h e ntan^(-1)((x y)/(z r))+tan^(-1)((y z)/(x r))+tan^(-1)((x z)/(y r)) is equal to

tan ^(-1)((1)/(x+y))+tan ^(-1)((y)/(x^(2)+x y+1))=

Prove that tan^(-1)x+tan^(-1)y=tan^(-1)((x+y)/(1-xy)) when xylt1

Prove that tan^(-1)x-tan^(-1)y=tan^(-1)((x-y)/(1+xy)),xygt-1

If y=tan^(-1)((4x)/(1-5x^(2)))+tan^(-1)((3+8x)/(8-3x)) , then (dy)/(dx) is :

If "tan"^(-1)(x+1)/(x-1)+"tan"^(-1)(x-1)/(x)=tan^(-1)(-7) then the value of x is

If y = tan^(-1)((x+a)/(1-xa)) then (dy)/(dx) =

If y=(tan^(-1)x-cot^(-1)x)/(tan^(-1)x+cot^(-1)x) , find ((dy)/(dx))_(x=-1)

SUNSTAR PUBLICATION-K-CET-MATHEMATICS-2016-MULTIPLE CHOICE QUESTIONS
  1. The value of sin^(-1)(cos""(53pi)/(5)) is

    Text Solution

    |

  2. If 3 "tan^(-1)x+cot^(-1)x-=pi then x equal to

    Text Solution

    |

  3. tan^(-1)((x)/(y))-tan^(-1)((x-y)/(x+y)) is

    Text Solution

    |

  4. If x, y, z are all different and not equal to zero and |{:(1+x,,1,,...

    Text Solution

    |

  5. If A is any aquare matrix of order 3xx3 then |3A| is equal to

    Text Solution

    |

  6. If y = e^(sin^(-1)(t^(2)-1)) & x = e^(sec-1((1)/(t^(2-1))) then (dy)/(...

    Text Solution

    |

  7. If A = 1/pi [(sin^(-1)(xpi),tan^(-1)(x/pi)),(sin^(-1)(x/pi),cot^(-1)(p...

    Text Solution

    |

  8. If x^(y) = e^(x-y) then (dy)/(dx) is equal to

    Text Solution

    |

  9. If A is matrix of order m xx n and B is a matrix such that AB' and B'A...

    Text Solution

    |

  10. Evaluate int(e^(x)(1+x))/(cos^(2)(xe^(x)))dx

    Text Solution

    |

  11. IF x yz are not equal to ne 0, ne 1 the value of |{:(logx,,logy,,logz)...

    Text Solution

    |

  12. The function f(x)= [x], where [x] denotes greatest integer function is...

    Text Solution

    |

  13. The value of int(e^(x)((1+x^(2))tan^(-1)x+1))/(x^(2)+1)dx is equal to

    Text Solution

    |

  14. If 2veca*vecb = |veca| * |vecb| then the angle between veca & vecb is

    Text Solution

    |

  15. If x^(m)y^(n)=(x+y)^(m+n), then (dy)/(dx)=

    Text Solution

    |

  16. The general solution of cot theta + tan theta = 2 is

    Text Solution

    |

  17. The value of int(-pi//4)^(pi//4) sin^(103) x*cos^(101) xdx is

    Text Solution

    |

  18. The length of latus rectum of parabola 4y^(2)+3x+3y+1=0 is

    Text Solution

    |

  19. The value of int(e^(6logx)-e^(5logx))/(e^(4logx)-e^(3logx))dx is equal...

    Text Solution

    |

  20. The differential coefficient of log(10)x with respect to log(x)10 is

    Text Solution

    |