Home
Class 12
MATHS
If tan A-tan B=x and cot B-cot A=y, then...

If `tan A-tan B=x` and `cot B-cot A=y,` then `cot (A-B)=`

A

`(1)/(y)-(1)/(x)`

B

`(1)/(x)-(1)/(y)`

C

`(1)/(x)+(1)/(y)`

D

none of these

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • MAXIMA AND MINIMA

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|167 Videos

  • Pair Of Lines

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|129 Videos

Similar Questions

Explore conceptually related problems

If tan A = 1/3 and tan B = 2/7 , then cot(A-B)=

If tan A=(1)/(3 ) and tan B=(2)/(7) , then cot (A-B)=

If tan A=(1)/(3), tan B=(2)/(7) then cot (A+B)=

If in a triangle A B C, tan A+tan B+tan C=6 then cot A . cot B . cot C=

In fig. find tan P - cot R .

If tan A = cot B , prove that A + B= 90 ^@

If tan A+cot A=4 then tan ^(4) A+cot ^(4) A=

If tan (B-C)/(2)=x cot (A)/(2) then x=

If cosec A+cot A=(11)/(2), then tan A is

If A + B = 90^(@) , prove that sqrt((tan A tan B + tan A cot B)/(sin A sec B ) - (sin^(2) B)/(cos^(2)A)) = tan A .

HIMALAYA PUBLICATION-MEASUREMENT OF ANGLES, TRIGONOMETRIC RATIOS AND RELATION BETWEEN SIDES AND ANGLES OF A TRIANGLE-QUESTION BANK
  1. Which one of the following is possible?

    Text Solution

    |

  2. If one side of a triangle is double the other and the angles opposite ...

    Text Solution

    |

  3. 3(sinx-cosx)^(4)+6(sinx+cosx)^(2)+4(sin^(6)x+cos^(6)x)=

    Text Solution

    |

  4. A cow is tied to a post by a rope. The cow moves along the circular pa...

    Text Solution

    |

  5. If |(1+sin^(2)theta, cos^(2)theta, 4 sin 2 theta),(sin^(2) theta, 1+co...

    Text Solution

    |

  6. (sin theta+cos theta)(tan theta+cot theta)=

    Text Solution

    |

  7. The sides of a triangle are 6+sqrt(12),sqrt(48) and sqrt(24). The tang...

    Text Solution

    |

  8. cot 12^(circ) cot 102^(circ)+cot 102^(circ) cot 66^(circ) +cot 66^(ci...

    Text Solution

    |

  9. sin 10^(circ) . sin 30^(circ) . sin 50^(circ) . sin 70^(circ)=

    Text Solution

    |

  10. Angles of elevatiobn of the top of a tower from three points (collinea...

    Text Solution

    |

  11. If any triangle A B C, the simplified form of (cos 2 A)/(a^(2))-(cos...

    Text Solution

    |

  12. A value of theta satisfying sin 5 theta-sin 3 theta+sin theta=0 such ...

    Text Solution

    |

  13. If tan A-tan B=x and cot B-cot A=y, then cot (A-B)=

    Text Solution

    |

  14. The value of "cos"^(2)(pi)/(12)+"cos"^(2)(pi)/(4)+"cos"^(2)(5pi)/(12) ...

    Text Solution

    |

  15. If sin theta, cos theta, tan theta are in G.P, then cot ^(6) theta-cot...

    Text Solution

    |

  16. (1-tan ^(2) 15^(circ))/(1+tan ^(2) 15^(circ))=

    Text Solution

    |

  17. sin ^(2) 5^(circ)+sin ^(2) 10^(circ)+sin ^(2) 15^(circ)+….+sin ^(2) 90...

    Text Solution

    |

  18. If 0 lt theta lt (pi)/(2) and tan theta+sec theta=p then sec theta=

    Text Solution

    |

  19. sin 10^(circ)+sin 20^(circ)+sin 30^(circ)+.. .+sin 360^(circ)=

    Text Solution

    |

  20. sqrt(2+sqrt(2+sqrt(2+2 cos 8 theta)))=

    Text Solution

    |