Home
Class 12
MATHS
Prove that following cot^(-1)((xy+1)/(...

Prove that following
`cot^(-1)((xy+1)/(x-y)) +cot^(-1)((yz+1)/(y-z))+cot^(-1)((zx+1)/(z-x))=0, (0 lt xy, yz, zx lt 1)`

Promotional Banner

Topper's Solved these Questions

  • VERY SIMILAR TEST 7

    ARIHANT PRAKASHAN|Exercise Section C (30 MARKS)|32 Videos

  • VERY SIMILAR TEST 7

    ARIHANT PRAKASHAN|Exercise Section C (30 MARKS)|32 Videos

  • VERY SIMILAR TEST 6

    ARIHANT PRAKASHAN|Exercise SECTION C ANSWER ANY ONE QUESTIONS|11 Videos

  • VERY SIMILAR TEST 8

    ARIHANT PRAKASHAN|Exercise Section C|25 Videos

Similar Questions

Explore conceptually related problems

Prove the following : cot22(1/2)^@=sqrt2+1

If a gt b gt c gt0 , then prove that cot^(-1) ((ab+1)/( a-b)) + cot^(-1) ((bc + 1)/( b-c)) + cot^(-1) ((ca + 1)/( c.-a)) = 0

Prove statement "cot"^(-1)(pq+1)/(p-q) +"cot"^-1(qr+1)/(q-r) +"cot"^(-1) (rp+1)/(r-p)=0

Prove the following : cot3A = (cot^3A-3cotA)/(3cot^2A-1)

Solve: "cot"^(-1) 1/(x-1) + "cot"^(-1) 1/x +"cot"^(-1) 1/(x+1) = "cot"^-1 1/(3x)

Solve for x: cot^(-1)(x-1)+cot^(-1)(x-2)+cot^(-1)(x-3)=0

Prove that : "tan"^(-1)sqrt((xr)/(yz)) +"tan"^(-1) sqrt((yr)/(yx)) +"tan"^(-1) sqrt((zr)/(xy)) = pi "where" r=x +y+z .

Prove that: cot^(-1)7+cot^(-1)18=cot^(-1)5 .

Prove that cot^(-1)7+cot^(-1)8+cot^(-1)18=cot^(-1)3

ARIHANT PRAKASHAN-VERY SIMILAR TEST 7-Section B (60 MARKS)
  1. Let * be a binary operation on Q defined by a**b=ab+1. Determine wheth...

    Text Solution

    |

  2. Let A = R-{2} and B = R - {1}. If f : A rarr B is a function defined b...

    Text Solution

    |

  3. Prove that following cot^(-1)((xy+1)/(x-y)) +cot^(-1)((yz+1)/(y-z))+...

    Text Solution

    |

  4. There are 25 tickets bearing numbers from 1 to 25. One ticket is drawn...

    Text Solution

    |

  5. IF A=[(1,tanx),(-tanx,1):}] then show that A^TA^-1=[(cos2x,-sin2x),(s...

    Text Solution

    |

  6. Show that the following systems of linear equations is consistent and ...

    Text Solution

    |

  7. If A+B+C = pi, prove that [[sin^2A,cotA,1],[sin^2B,cotB,1],[sin^2C,c...

    Text Solution

    |

  8. Find the probability distribution of number of doublets in four throws...

    Text Solution

    |

  9. Find the equasion of the tangents drawn from the point (1,2) to the cu...

    Text Solution

    |

  10. Find the intervals in which the function y="sin"x,x in[0, 2pi] is in...

    Text Solution

    |

  11. If y =(sin^(-1) x)^2, prove that (1-x^2)y2 - xy1 - 2 = 0

    Text Solution

    |

  12. Differentiate "log"(10)x+"log"(x)10+"log"(x)x+"log"(10)10.

    Text Solution

    |

  13. Verify the LMVT for the function f(x)=(1)/(4x-1),1lexle4.

    Text Solution

    |

  14. Find the solution of the differential equation. (x-y-2)dx+(x-2y-3)dy...

    Text Solution

    |

  15. Find the differential equation by eleminating the orbitary constants i...

    Text Solution

    |

  16. Evaluate the following integrals : int(e^(6logx)-e^(5logx))/(e^(4log...

    Text Solution

    |

  17. Prove that int(-1)^(1)log((2-x)/(2+x))dx=0

    Text Solution

    |

  18. Find the area enclosed bt the two paraboles y^2=4 ax and x^2=4ay.

    Text Solution

    |

  19. By computing shortest distance, determine whether the following pair o...

    Text Solution

    |

  20. Find the equation of the plane Paralel to the plane 2x-y+3z+1=0 and at...

    Text Solution

    |