Home
Class 11
MATHS
In an acute angled triangle, cot B cot C...

In an acute angled triangle, `cot B cot C + cot A cot C + cot A cot B`

A

`-1`

B

0

C

1

D

2

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • COMPOUND ANGLES

    AAKASH SERIES|Exercise PRACTICE SHEET (EXERCISE - I) LEVEL - II|4 Videos

  • COMPOUND ANGLES

    AAKASH SERIES|Exercise ADDITIONAL PRACTICE EXERCISE (LEVEL - I (MAIN))|14 Videos

  • COMPOUND ANGLES

    AAKASH SERIES|Exercise LECTURE SHEET (EXERCISE - I)|43 Videos

  • CHANGE OF AXES

    AAKASH SERIES|Exercise Practice Exercise|29 Videos

  • CONTINUITY

    AAKASH SERIES|Exercise ADVANCED SUBJECTIVE TYPE QUESTIONS|34 Videos

Similar Questions

Explore conceptually related problems

In an acute angled triangle ABC, cot A cot B + cot C + cot c Cot A = …..

cot x cot 2x - cot 2x cot 3x - cot 3x cot x=1

Cot A +Cot B +cot C =

If ABC are angle of a triangle then prove that cot Acot B+ cot Bcot C+cotCcostA=1

If A+B+C=0 , then cot A cotB + cot B cot C+ cot C cot A =

( a cot A + b cot B + c cot C )/( a + b+ c)

If A, B, C, D be the angle of a quadrilateral, then (tan A + tan B + tan C + tan D)/( cot A + cot B + cot C + cot D) =

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

(tan A + tan B)/( cot A + cot B)+(1- tan A tan B)/( 1- cot A cot B)=

AAKASH SERIES-COMPOUND ANGLES-PRACTICE SHEET (EXERCISE - I) LEVEL - I
  1. If tan beta = 2 sin alpha sin gamma " cosec "(alpha + gamma) , then ...

    Text Solution

    |

  2. Assertion (A): tan40^(@) + tan 80^(@) - sqrt(3)tan 40^(@) tan80^(@)=-s...

    Text Solution

    |

  3. Statement-I : If 0 lt alpha, beta lt pi/4, sin alpha =a/sqrt(1+a^(2)),...

    Text Solution

    |

  4. I : If x cos theta = y cos (120^@ + theta ) = z cos ( theta + 240^(@)...

    Text Solution

    |

  5. Statement I: If sin alpha = 12/13, (0 lt alpha lt pi/2) and cos beta =...

    Text Solution

    |

  6. If A=35^(@) , B= 15^(@) and C=40^(@) , then tan A* tan B+ tan B* tan...

    Text Solution

    |

  7. In an acute angled triangle, cot B cot C + cot A cot C + cot A cot B

    Text Solution

    |

  8. Arrange the following values in the ascending order of P,Q,R. If A+B+C...

    Text Solution

    |

  9. In triangle ABC, tan A + tan B + tan C = 6 and tanA tanB = 2, then the...

    Text Solution

    |

  10. Statement I : If m cos(theta+alpha)=n cos (theta-alpha) then tan theta...

    Text Solution

    |

  11. Let A=pi/7, B =(2pi)/7, C=(4pi)/7 and cosA cos B cosC=-1//8, then 2sum...

    Text Solution

    |

  12. If cos 2B=(cos (A+C))/(cos(A-C)) , then tan A , tan B , tan C are in

    Text Solution

    |

  13. If 2sec2theta = tan phi + cot phi, then one of the values of theta + p...

    Text Solution

    |

  14. If cos25^(@)+sin25^(@)=p, then cos 50^(@) is

    Text Solution

    |

  15. Statement I : If A+B+C=pi (A,B,C gt 0) and the angle C is obtuse then ...

    Text Solution

    |

  16. Match the following : {:(,"List - I",,"List - II"),((1),cot((pi)/(...

    Text Solution

    |

  17. A=(cos9^(@)-sin9^(@))/(cos9^(@)+sin 9^(@)), B=(cos21^(@)+sin21^(@))/(c...

    Text Solution

    |

  18. If tan""[(pi)/4 + theta ]+tan[(pi)/(4)- theta ]=a " then " tan^(3)[(pi...

    Text Solution

    |

  19. (sin^(8)75^(@)-cos^(8)75^(@))=

    Text Solution

    |

  20. If A, B, C are in A.P and and B=(pi)/(4) then tan A tan B tan C =

    Text Solution

    |