Home
Class 12
MATHS
If xy<1,tan^-1x+tan^-1y=........ a)tan^-...

If `xy<1,tan^-1x+tan^-1y`=........ a)`tan^-1(frac(x-y)(1+xy))`
b)`tan^-1(frac(x+y)(1-xy))` c)`(tanx+tany)/(1-tanxtany)` d)`(tanx-tany)/(1-tanxtany)`

Promotional Banner

Topper's Solved these Questions

  • MATRICES

    A N EXCEL PUBLICATION|Exercise QUESTION BANK|128 Videos

  • RELATIONS AND FUNCTIONS

    A N EXCEL PUBLICATION|Exercise QUESTION BANK|86 Videos

Similar Questions

Explore conceptually related problems

If xy b) tan^-1(frac(x+y)(1-xy)) c) (tanx+tany)/(1-tanxtany) d) (tanx-tany)/(1-tanxtany)

(tan x+tan y)/(1-tanxtany) =……………

Prove that sin(x-y)/sin(x+y)=(tanx-tany)/(tanx+tany)

Prove that sin(x-y)/sin(x+y)=(tanx-tany)/(tanx+tany)

Solve for x if, tan^-1(frac(1+x)(1-x))=2tan^-1x

Prove that tan 3x=(3tanx-tan^3x)/(1-3tan^2x)

Prove that tan4x=(4tanx(1-tan^2x))/(1-6tan^2x+tan^4x)

prove that (tan(pi/4+x))/(tan(pi/4-x))=((1+tanx)/(1-tanx))^2

Prove that '(sin (x+y)) / (sin (x-y))=(tan x+tan y)/(tan x- ( tany ))'

Prove that xy tan^-1x+tan^-1y=tan^-1(frac(x+y)(1-xy))

A N EXCEL PUBLICATION-PROBABILITY-QUESTION BANK
  1. Find gof(x), if f(x)=8x^3 and g(x)=x^(1/3)

    Text Solution

    |

  2. Let ast be an operation such that aastb=LCM of a and b defined on the ...

    Text Solution

    |

  3. If xy<1,tan^-1x+tan^-1y=........ a)tan^-1(frac(x-y)(1+xy)) b)tan^-1(f...

    Text Solution

    |

  4. Prove that 2 tan^(-1)(1/2) + tan^(-1)(1/7) = tan^(-1)(31/17)

    Text Solution

    |

  5. If A=[[0,1],[0,0]] ,B=[[1,0],[0,0]], then BA=

    Text Solution

    |

  6. Write A=[[3,5],[1,-1]] as the sum of a symmetric and a skew symmetric ...

    Text Solution

    |

  7. Find the inverse of A=[[2,-6],[1,-2]]

    Text Solution

    |

  8. The value of abs((x,x-1) , (x+1,x):} is a)1 b)x c)x^2d)0

    Text Solution

    |

  9. Using properties of determinants prove the following. abs[[1,x,x^2...

    Text Solution

    |

  10. Find all points of discontinuity of f where f is defined by f(x)={(2x+...

    Text Solution

    |

  11. If e^(x-y)=x^y then prove that dy/dx=logx/[logex]^2

    Text Solution

    |

  12. The slope of the tangent to the curve given x=1-costheta,y=theta-sin...

    Text Solution

    |

  13. Find the intervals in which the function f(x)=x^2-4x+6 is strictly dec...

    Text Solution

    |

  14. Find the minimum and maximum value, if any, of the function f(x)=(2x-1...

    Text Solution

    |

  15. Which of the following function has neither local maxima nor local min...

    Text Solution

    |

  16. Find the equation of the tangent to the curve y=3x^2 at (1,1)

    Text Solution

    |

  17. Use differentiation to approximate sqrt36.6.

    Text Solution

    |

  18. The angle between the vectors veca and vecb such that absveca=absvecb=...

    Text Solution

    |

  19. Find the unit vector along veca-vecb where veca=i+3j-k and vecb=3i+2j+...

    Text Solution

    |

  20. If the points A and B are (1,2,-1) and (2,1,-1) respectively, then vec...

    Text Solution

    |